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Finding the Third Proportional to 73,127 and 106,919

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Solution

The third proportional to 73,127 and 106,919 is: 156,326.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,127 : 106,919 = 106,919 : x
  2. Step 2: Convert to fraction form
    73,127/106,919 = 106,919/x
  3. Step 3: Cross multiply
    73,127x = 106,919 × 106,919
  4. Step 4: Simplify right side
    73,127x = 11,431,672,561
  5. Step 5: Solve for x
    x = 11,431,672,561/73,127
  6. Step 6: Final answer
    x = 156,326.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.