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Finding the Third Proportional to 70,750.13 and 147,241.13

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Solution

The third proportional to 70,750.13 and 147,241.13 is: 306,429.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,750.13 : 147,241.13 = 147,241.13 : x
  2. Step 2: Convert to fraction form
    70,750.13/147,241.13 = 147,241.13/x
  3. Step 3: Cross multiply
    70,750.13x = 147,241.13 × 147,241.13
  4. Step 4: Simplify right side
    70,750.13x = 21,679,948,891.27
  5. Step 5: Solve for x
    x = 21,679,948,891.27/70,750.13
  6. Step 6: Final answer
    x = 306,429.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.