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Finding the Third Proportional to 60,338 and 132,547

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Solution

The third proportional to 60,338 and 132,547 is: 291,171.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,338 : 132,547 = 132,547 : x
  2. Step 2: Convert to fraction form
    60,338/132,547 = 132,547/x
  3. Step 3: Cross multiply
    60,338x = 132,547 × 132,547
  4. Step 4: Simplify right side
    60,338x = 17,568,707,209
  5. Step 5: Solve for x
    x = 17,568,707,209/60,338
  6. Step 6: Final answer
    x = 291,171.52

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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.