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Finding the Third Proportional to 60,363 and 91,548

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Solution

The third proportional to 60,363 and 91,548 is: 138,843.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,363 : 91,548 = 91,548 : x
  2. Step 2: Convert to fraction form
    60,363/91,548 = 91,548/x
  3. Step 3: Cross multiply
    60,363x = 91,548 × 91,548
  4. Step 4: Simplify right side
    60,363x = 8,381,036,304
  5. Step 5: Solve for x
    x = 8,381,036,304/60,363
  6. Step 6: Final answer
    x = 138,843.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.