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Finding the Third Proportional to 42,350 and 61,934

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Solution

The third proportional to 42,350 and 61,934 is: 90,574.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,350 : 61,934 = 61,934 : x
  2. Step 2: Convert to fraction form
    42,350/61,934 = 61,934/x
  3. Step 3: Cross multiply
    42,350x = 61,934 × 61,934
  4. Step 4: Simplify right side
    42,350x = 3,835,820,356
  5. Step 5: Solve for x
    x = 3,835,820,356/42,350
  6. Step 6: Final answer
    x = 90,574.27

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.