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Finding the Third Proportional to 70,269 and 92,257.50

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Solution

The third proportional to 70,269 and 92,257.50 is: 121,126.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,269 : 92,257.50 = 92,257.50 : x
  2. Step 2: Convert to fraction form
    70,269/92,257.50 = 92,257.50/x
  3. Step 3: Cross multiply
    70,269x = 92,257.50 × 92,257.50
  4. Step 4: Simplify right side
    70,269x = 8,511,446,306.25
  5. Step 5: Solve for x
    x = 8,511,446,306.25/70,269
  6. Step 6: Final answer
    x = 121,126.62

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.