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Finding the Third Proportional to 69,102.25 and 145,167.13

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Solution

The third proportional to 69,102.25 and 145,167.13 is: 304,961.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,102.25 : 145,167.13 = 145,167.13 : x
  2. Step 2: Convert to fraction form
    69,102.25/145,167.13 = 145,167.13/x
  3. Step 3: Cross multiply
    69,102.25x = 145,167.13 × 145,167.13
  4. Step 4: Simplify right side
    69,102.25x = 21,073,494,180.77
  5. Step 5: Solve for x
    x = 21,073,494,180.77/69,102.25
  6. Step 6: Final answer
    x = 304,961.04

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.