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Finding the Third Proportional to 40,140 and 59,629

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Solution

The third proportional to 40,140 and 59,629 is: 88,580.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,140 : 59,629 = 59,629 : x
  2. Step 2: Convert to fraction form
    40,140/59,629 = 59,629/x
  3. Step 3: Cross multiply
    40,140x = 59,629 × 59,629
  4. Step 4: Simplify right side
    40,140x = 3,555,617,641
  5. Step 5: Solve for x
    x = 3,555,617,641/40,140
  6. Step 6: Final answer
    x = 88,580.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.