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Finding the Third Proportional to 42,931 and 89,781

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Solution

The third proportional to 42,931 and 89,781 is: 187,757.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,931 : 89,781 = 89,781 : x
  2. Step 2: Convert to fraction form
    42,931/89,781 = 89,781/x
  3. Step 3: Cross multiply
    42,931x = 89,781 × 89,781
  4. Step 4: Simplify right side
    42,931x = 8,060,627,961
  5. Step 5: Solve for x
    x = 8,060,627,961/42,931
  6. Step 6: Final answer
    x = 187,757.75

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.