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Finding the Third Proportional to 48,491 and 75,258.25

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Solution

The third proportional to 48,491 and 75,258.25 is: 116,801.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,491 : 75,258.25 = 75,258.25 : x
  2. Step 2: Convert to fraction form
    48,491/75,258.25 = 75,258.25/x
  3. Step 3: Cross multiply
    48,491x = 75,258.25 × 75,258.25
  4. Step 4: Simplify right side
    48,491x = 5,663,804,193.06
  5. Step 5: Solve for x
    x = 5,663,804,193.06/48,491
  6. Step 6: Final answer
    x = 116,801.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.