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Finding the Third Proportional to 107,049 and 144,193.50

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Solution

The third proportional to 107,049 and 144,193.50 is: 194,226.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,049 : 144,193.50 = 144,193.50 : x
  2. Step 2: Convert to fraction form
    107,049/144,193.50 = 144,193.50/x
  3. Step 3: Cross multiply
    107,049x = 144,193.50 × 144,193.50
  4. Step 4: Simplify right side
    107,049x = 20,791,765,442.25
  5. Step 5: Solve for x
    x = 20,791,765,442.25/107,049
  6. Step 6: Final answer
    x = 194,226.62

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.