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Finding the Third Proportional to 66,110 and 100,711

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Solution

The third proportional to 66,110 and 100,711 is: 153,421.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,110 : 100,711 = 100,711 : x
  2. Step 2: Convert to fraction form
    66,110/100,711 = 100,711/x
  3. Step 3: Cross multiply
    66,110x = 100,711 × 100,711
  4. Step 4: Simplify right side
    66,110x = 10,142,705,521
  5. Step 5: Solve for x
    x = 10,142,705,521/66,110
  6. Step 6: Final answer
    x = 153,421.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.