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Finding the Third Proportional to 55,755 and 98,413

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Solution

The third proportional to 55,755 and 98,413 is: 173,708.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,755 : 98,413 = 98,413 : x
  2. Step 2: Convert to fraction form
    55,755/98,413 = 98,413/x
  3. Step 3: Cross multiply
    55,755x = 98,413 × 98,413
  4. Step 4: Simplify right side
    55,755x = 9,685,118,569
  5. Step 5: Solve for x
    x = 9,685,118,569/55,755
  6. Step 6: Final answer
    x = 173,708.52

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These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.