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Finding the Third Proportional to 75,457.50 and 159,910.13

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Solution

The third proportional to 75,457.50 and 159,910.13 is: 338,882.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,457.50 : 159,910.13 = 159,910.13 : x
  2. Step 2: Convert to fraction form
    75,457.50/159,910.13 = 159,910.13/x
  3. Step 3: Cross multiply
    75,457.50x = 159,910.13 × 159,910.13
  4. Step 4: Simplify right side
    75,457.50x = 25,571,248,077.52
  5. Step 5: Solve for x
    x = 25,571,248,077.52/75,457.50
  6. Step 6: Final answer
    x = 338,882.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.