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Finding the Third Proportional to 42,924 and 92,472

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Solution

The third proportional to 42,924 and 92,472 is: 199,214.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,924 : 92,472 = 92,472 : x
  2. Step 2: Convert to fraction form
    42,924/92,472 = 92,472/x
  3. Step 3: Cross multiply
    42,924x = 92,472 × 92,472
  4. Step 4: Simplify right side
    42,924x = 8,551,070,784
  5. Step 5: Solve for x
    x = 8,551,070,784/42,924
  6. Step 6: Final answer
    x = 199,214.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.