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Finding the Third Proportional to 113,189.25 and 153,176.25

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Solution

The third proportional to 113,189.25 and 153,176.25 is: 207,289.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,189.25 : 153,176.25 = 153,176.25 : x
  2. Step 2: Convert to fraction form
    113,189.25/153,176.25 = 153,176.25/x
  3. Step 3: Cross multiply
    113,189.25x = 153,176.25 × 153,176.25
  4. Step 4: Simplify right side
    113,189.25x = 23,462,963,564.06
  5. Step 5: Solve for x
    x = 23,462,963,564.06/113,189.25
  6. Step 6: Final answer
    x = 207,289.68

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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.