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Finding the Third Proportional to 63,029 and 132,942

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Solution

The third proportional to 63,029 and 132,942 is: 280,403.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,029 : 132,942 = 132,942 : x
  2. Step 2: Convert to fraction form
    63,029/132,942 = 132,942/x
  3. Step 3: Cross multiply
    63,029x = 132,942 × 132,942
  4. Step 4: Simplify right side
    63,029x = 17,673,575,364
  5. Step 5: Solve for x
    x = 17,673,575,364/63,029
  6. Step 6: Final answer
    x = 280,403.87

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.