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Finding the Third Proportional to 42,050 and 63,251

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Solution

The third proportional to 42,050 and 63,251 is: 95,141.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,050 : 63,251 = 63,251 : x
  2. Step 2: Convert to fraction form
    42,050/63,251 = 63,251/x
  3. Step 3: Cross multiply
    42,050x = 63,251 × 63,251
  4. Step 4: Simplify right side
    42,050x = 4,000,689,001
  5. Step 5: Solve for x
    x = 4,000,689,001/42,050
  6. Step 6: Final answer
    x = 95,141.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.