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Finding the Third Proportional to 109,499 and 121,019

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Solution

The third proportional to 109,499 and 121,019 is: 133,750.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,499 : 121,019 = 121,019 : x
  2. Step 2: Convert to fraction form
    109,499/121,019 = 121,019/x
  3. Step 3: Cross multiply
    109,499x = 121,019 × 121,019
  4. Step 4: Simplify right side
    109,499x = 14,645,598,361
  5. Step 5: Solve for x
    x = 14,645,598,361/109,499
  6. Step 6: Final answer
    x = 133,750.98

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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.