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Finding the Third Proportional to 67,500 and 147,711

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Solution

The third proportional to 67,500 and 147,711 is: 323,237.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,500 : 147,711 = 147,711 : x
  2. Step 2: Convert to fraction form
    67,500/147,711 = 147,711/x
  3. Step 3: Cross multiply
    67,500x = 147,711 × 147,711
  4. Step 4: Simplify right side
    67,500x = 21,818,539,521
  5. Step 5: Solve for x
    x = 21,818,539,521/67,500
  6. Step 6: Final answer
    x = 323,237.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.