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Finding the Third Proportional to 44,084.25 and 85,951.13

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Solution

The third proportional to 44,084.25 and 85,951.13 is: 167,579.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,084.25 : 85,951.13 = 85,951.13 : x
  2. Step 2: Convert to fraction form
    44,084.25/85,951.13 = 85,951.13/x
  3. Step 3: Cross multiply
    44,084.25x = 85,951.13 × 85,951.13
  4. Step 4: Simplify right side
    44,084.25x = 7,387,595,888.77
  5. Step 5: Solve for x
    x = 7,387,595,888.77/44,084.25
  6. Step 6: Final answer
    x = 167,579.03

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.