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Finding the Third Proportional to 42,282 and 72,441

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Solution

The third proportional to 42,282 and 72,441 is: 124,111.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,282 : 72,441 = 72,441 : x
  2. Step 2: Convert to fraction form
    42,282/72,441 = 72,441/x
  3. Step 3: Cross multiply
    42,282x = 72,441 × 72,441
  4. Step 4: Simplify right side
    42,282x = 5,247,698,481
  5. Step 5: Solve for x
    x = 5,247,698,481/42,282
  6. Step 6: Final answer
    x = 124,111.88

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.