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Finding the Third Proportional to 66,868.50 and 145,725

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Solution

The third proportional to 66,868.50 and 145,725 is: 317,575.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,868.50 : 145,725 = 145,725 : x
  2. Step 2: Convert to fraction form
    66,868.50/145,725 = 145,725/x
  3. Step 3: Cross multiply
    66,868.50x = 145,725 × 145,725
  4. Step 4: Simplify right side
    66,868.50x = 21,235,775,625
  5. Step 5: Solve for x
    x = 21,235,775,625/66,868.50
  6. Step 6: Final answer
    x = 317,575.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.