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Finding the Third Proportional to 80,148 and 124,759

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Solution

The third proportional to 80,148 and 124,759 is: 194,200.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,148 : 124,759 = 124,759 : x
  2. Step 2: Convert to fraction form
    80,148/124,759 = 124,759/x
  3. Step 3: Cross multiply
    80,148x = 124,759 × 124,759
  4. Step 4: Simplify right side
    80,148x = 15,564,808,081
  5. Step 5: Solve for x
    x = 15,564,808,081/80,148
  6. Step 6: Final answer
    x = 194,200.83

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.