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Finding the Third Proportional to 107,055 and 160,314

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Solution

The third proportional to 107,055 and 160,314 is: 240,068.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,055 : 160,314 = 160,314 : x
  2. Step 2: Convert to fraction form
    107,055/160,314 = 160,314/x
  3. Step 3: Cross multiply
    107,055x = 160,314 × 160,314
  4. Step 4: Simplify right side
    107,055x = 25,700,578,596
  5. Step 5: Solve for x
    x = 25,700,578,596/107,055
  6. Step 6: Final answer
    x = 240,068.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.