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Finding the Third Proportional to 42,706 and 62,955

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Solution

The third proportional to 42,706 and 62,955 is: 92,805.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,706 : 62,955 = 62,955 : x
  2. Step 2: Convert to fraction form
    42,706/62,955 = 62,955/x
  3. Step 3: Cross multiply
    42,706x = 62,955 × 62,955
  4. Step 4: Simplify right side
    42,706x = 3,963,332,025
  5. Step 5: Solve for x
    x = 3,963,332,025/42,706
  6. Step 6: Final answer
    x = 92,805.04

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.