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Finding the Third Proportional to 102,127 and 149,757

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Solution

The third proportional to 102,127 and 149,757 is: 219,600.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,127 : 149,757 = 149,757 : x
  2. Step 2: Convert to fraction form
    102,127/149,757 = 149,757/x
  3. Step 3: Cross multiply
    102,127x = 149,757 × 149,757
  4. Step 4: Simplify right side
    102,127x = 22,427,159,049
  5. Step 5: Solve for x
    x = 22,427,159,049/102,127
  6. Step 6: Final answer
    x = 219,600.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.