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Finding the Third Proportional to 42,024 and 68,792

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Solution

The third proportional to 42,024 and 68,792 is: 112,610.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,024 : 68,792 = 68,792 : x
  2. Step 2: Convert to fraction form
    42,024/68,792 = 68,792/x
  3. Step 3: Cross multiply
    42,024x = 68,792 × 68,792
  4. Step 4: Simplify right side
    42,024x = 4,732,339,264
  5. Step 5: Solve for x
    x = 4,732,339,264/42,024
  6. Step 6: Final answer
    x = 112,610.40

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.