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Finding the Third Proportional to 60,338 and 132,572

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Solution

The third proportional to 60,338 and 132,572 is: 291,281.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,338 : 132,572 = 132,572 : x
  2. Step 2: Convert to fraction form
    60,338/132,572 = 132,572/x
  3. Step 3: Cross multiply
    60,338x = 132,572 × 132,572
  4. Step 4: Simplify right side
    60,338x = 17,575,335,184
  5. Step 5: Solve for x
    x = 17,575,335,184/60,338
  6. Step 6: Final answer
    x = 291,281.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.