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Finding the Third Proportional to 60,343 and 132,349

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Solution

The third proportional to 60,343 and 132,349 is: 290,278.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,343 : 132,349 = 132,349 : x
  2. Step 2: Convert to fraction form
    60,343/132,349 = 132,349/x
  3. Step 3: Cross multiply
    60,343x = 132,349 × 132,349
  4. Step 4: Simplify right side
    60,343x = 17,516,257,801
  5. Step 5: Solve for x
    x = 17,516,257,801/60,343
  6. Step 6: Final answer
    x = 290,278.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.