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Finding the Third Proportional to 113,258.81 and 153,280.13

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Solution

The third proportional to 113,258.81 and 153,280.13 is: 207,443.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,258.81 : 153,280.13 = 153,280.13 : x
  2. Step 2: Convert to fraction form
    113,258.81/153,280.13 = 153,280.13/x
  3. Step 3: Cross multiply
    113,258.81x = 153,280.13 × 153,280.13
  4. Step 4: Simplify right side
    113,258.81x = 23,494,796,720.02
  5. Step 5: Solve for x
    x = 23,494,796,720.02/113,258.81
  6. Step 6: Final answer
    x = 207,443.43

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.