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Finding the Third Proportional to 42,952 and 61,865

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Solution

The third proportional to 42,952 and 61,865 is: 89,105.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,952 : 61,865 = 61,865 : x
  2. Step 2: Convert to fraction form
    42,952/61,865 = 61,865/x
  3. Step 3: Cross multiply
    42,952x = 61,865 × 61,865
  4. Step 4: Simplify right side
    42,952x = 3,827,278,225
  5. Step 5: Solve for x
    x = 3,827,278,225/42,952
  6. Step 6: Final answer
    x = 89,105.94

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.