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Finding the Third Proportional to 60,192 and 138,432

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Solution

The third proportional to 60,192 and 138,432 is: 318,371.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,192 : 138,432 = 138,432 : x
  2. Step 2: Convert to fraction form
    60,192/138,432 = 138,432/x
  3. Step 3: Cross multiply
    60,192x = 138,432 × 138,432
  4. Step 4: Simplify right side
    60,192x = 19,163,418,624
  5. Step 5: Solve for x
    x = 19,163,418,624/60,192
  6. Step 6: Final answer
    x = 318,371.52

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.