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Finding the Third Proportional to 42,602 and 59,736

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Solution

The third proportional to 42,602 and 59,736 is: 83,761.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,602 : 59,736 = 59,736 : x
  2. Step 2: Convert to fraction form
    42,602/59,736 = 59,736/x
  3. Step 3: Cross multiply
    42,602x = 59,736 × 59,736
  4. Step 4: Simplify right side
    42,602x = 3,568,389,696
  5. Step 5: Solve for x
    x = 3,568,389,696/42,602
  6. Step 6: Final answer
    x = 83,761.08

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.