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Finding the Third Proportional to 66,860 and 145,711

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Solution

The third proportional to 66,860 and 145,711 is: 317,554.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,860 : 145,711 = 145,711 : x
  2. Step 2: Convert to fraction form
    66,860/145,711 = 145,711/x
  3. Step 3: Cross multiply
    66,860x = 145,711 × 145,711
  4. Step 4: Simplify right side
    66,860x = 21,231,695,521
  5. Step 5: Solve for x
    x = 21,231,695,521/66,860
  6. Step 6: Final answer
    x = 317,554.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.