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Finding the Third Proportional to 60,349 and 132,646

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Solution

The third proportional to 60,349 and 132,646 is: 291,553.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,349 : 132,646 = 132,646 : x
  2. Step 2: Convert to fraction form
    60,349/132,646 = 132,646/x
  3. Step 3: Cross multiply
    60,349x = 132,646 × 132,646
  4. Step 4: Simplify right side
    60,349x = 17,594,961,316
  5. Step 5: Solve for x
    x = 17,594,961,316/60,349
  6. Step 6: Final answer
    x = 291,553.49

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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.