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Finding the Third Proportional to 66,982.50 and 92,270.25

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Solution

The third proportional to 66,982.50 and 92,270.25 is: 127,104.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,982.50 : 92,270.25 = 92,270.25 : x
  2. Step 2: Convert to fraction form
    66,982.50/92,270.25 = 92,270.25/x
  3. Step 3: Cross multiply
    66,982.50x = 92,270.25 × 92,270.25
  4. Step 4: Simplify right side
    66,982.50x = 8,513,799,035.06
  5. Step 5: Solve for x
    x = 8,513,799,035.06/66,982.50
  6. Step 6: Final answer
    x = 127,104.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.