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Finding the Third Proportional to 40,612 and 63,127

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Solution

The third proportional to 40,612 and 63,127 is: 98,124.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,612 : 63,127 = 63,127 : x
  2. Step 2: Convert to fraction form
    40,612/63,127 = 63,127/x
  3. Step 3: Cross multiply
    40,612x = 63,127 × 63,127
  4. Step 4: Simplify right side
    40,612x = 3,985,018,129
  5. Step 5: Solve for x
    x = 3,985,018,129/40,612
  6. Step 6: Final answer
    x = 98,124.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.