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Finding the Third Proportional to 42,157 and 63,126

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Solution

The third proportional to 42,157 and 63,126 is: 94,525.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,157 : 63,126 = 63,126 : x
  2. Step 2: Convert to fraction form
    42,157/63,126 = 63,126/x
  3. Step 3: Cross multiply
    42,157x = 63,126 × 63,126
  4. Step 4: Simplify right side
    42,157x = 3,984,891,876
  5. Step 5: Solve for x
    x = 3,984,891,876/42,157
  6. Step 6: Final answer
    x = 94,525.03

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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.