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Finding the Third Proportional to 75,066.75 and 160,785

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Solution

The third proportional to 75,066.75 and 160,785 is: 344,384.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,066.75 : 160,785 = 160,785 : x
  2. Step 2: Convert to fraction form
    75,066.75/160,785 = 160,785/x
  3. Step 3: Cross multiply
    75,066.75x = 160,785 × 160,785
  4. Step 4: Simplify right side
    75,066.75x = 25,851,816,225
  5. Step 5: Solve for x
    x = 25,851,816,225/75,066.75
  6. Step 6: Final answer
    x = 344,384.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.