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Finding the Third Proportional to 59,539 and 92,382

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Solution

The third proportional to 59,539 and 92,382 is: 143,341.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,539 : 92,382 = 92,382 : x
  2. Step 2: Convert to fraction form
    59,539/92,382 = 92,382/x
  3. Step 3: Cross multiply
    59,539x = 92,382 × 92,382
  4. Step 4: Simplify right side
    59,539x = 8,534,433,924
  5. Step 5: Solve for x
    x = 8,534,433,924/59,539
  6. Step 6: Final answer
    x = 143,341.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.