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Finding the Third Proportional to 60,192 and 80,527

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Solution

The third proportional to 60,192 and 80,527 is: 107,731.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,192 : 80,527 = 80,527 : x
  2. Step 2: Convert to fraction form
    60,192/80,527 = 80,527/x
  3. Step 3: Cross multiply
    60,192x = 80,527 × 80,527
  4. Step 4: Simplify right side
    60,192x = 6,484,597,729
  5. Step 5: Solve for x
    x = 6,484,597,729/60,192
  6. Step 6: Final answer
    x = 107,731.89

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.