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Finding the Third Proportional to 66,117.38 and 100,725

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Solution

The third proportional to 66,117.38 and 100,725 is: 153,447.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,117.38 : 100,725 = 100,725 : x
  2. Step 2: Convert to fraction form
    66,117.38/100,725 = 100,725/x
  3. Step 3: Cross multiply
    66,117.38x = 100,725 × 100,725
  4. Step 4: Simplify right side
    66,117.38x = 10,145,525,625
  5. Step 5: Solve for x
    x = 10,145,525,625/66,117.38
  6. Step 6: Final answer
    x = 153,447.19

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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.