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Finding the Third Proportional to 42,231 and 92,382

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Solution

The third proportional to 42,231 and 92,382 is: 202,089.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,231 : 92,382 = 92,382 : x
  2. Step 2: Convert to fraction form
    42,231/92,382 = 92,382/x
  3. Step 3: Cross multiply
    42,231x = 92,382 × 92,382
  4. Step 4: Simplify right side
    42,231x = 8,534,433,924
  5. Step 5: Solve for x
    x = 8,534,433,924/42,231
  6. Step 6: Final answer
    x = 202,089.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.