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Finding the Third Proportional to 75,429 and 157,060

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Solution

The third proportional to 75,429 and 157,060 is: 327,033.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,429 : 157,060 = 157,060 : x
  2. Step 2: Convert to fraction form
    75,429/157,060 = 157,060/x
  3. Step 3: Cross multiply
    75,429x = 157,060 × 157,060
  4. Step 4: Simplify right side
    75,429x = 24,667,843,600
  5. Step 5: Solve for x
    x = 24,667,843,600/75,429
  6. Step 6: Final answer
    x = 327,033.95

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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.