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Finding the Third Proportional to 109,524 and 121,044

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Solution

The third proportional to 109,524 and 121,044 is: 133,775.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,524 : 121,044 = 121,044 : x
  2. Step 2: Convert to fraction form
    109,524/121,044 = 121,044/x
  3. Step 3: Cross multiply
    109,524x = 121,044 × 121,044
  4. Step 4: Simplify right side
    109,524x = 14,651,649,936
  5. Step 5: Solve for x
    x = 14,651,649,936/109,524
  6. Step 6: Final answer
    x = 133,775.70

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.