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Finding the Third Proportional to 124,120 and 191,800

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Solution

The third proportional to 124,120 and 191,800 is: 296,384.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,120 : 191,800 = 191,800 : x
  2. Step 2: Convert to fraction form
    124,120/191,800 = 191,800/x
  3. Step 3: Cross multiply
    124,120x = 191,800 × 191,800
  4. Step 4: Simplify right side
    124,120x = 36,787,240,000
  5. Step 5: Solve for x
    x = 36,787,240,000/124,120
  6. Step 6: Final answer
    x = 296,384.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.