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Finding the Third Proportional to 96,300 and 138,711

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Solution

The third proportional to 96,300 and 138,711 is: 199,800.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,300 : 138,711 = 138,711 : x
  2. Step 2: Convert to fraction form
    96,300/138,711 = 138,711/x
  3. Step 3: Cross multiply
    96,300x = 138,711 × 138,711
  4. Step 4: Simplify right side
    96,300x = 19,240,741,521
  5. Step 5: Solve for x
    x = 19,240,741,521/96,300
  6. Step 6: Final answer
    x = 199,800.02

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.