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Finding the Third Proportional to 42,703 and 72,801

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Solution

The third proportional to 42,703 and 72,801 is: 124,112.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,703 : 72,801 = 72,801 : x
  2. Step 2: Convert to fraction form
    42,703/72,801 = 72,801/x
  3. Step 3: Cross multiply
    42,703x = 72,801 × 72,801
  4. Step 4: Simplify right side
    42,703x = 5,299,985,601
  5. Step 5: Solve for x
    x = 5,299,985,601/42,703
  6. Step 6: Final answer
    x = 124,112.72

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.