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Finding the Third Proportional to 66,201.75 and 156,145.88

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Solution

The third proportional to 66,201.75 and 156,145.88 is: 368,291.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,201.75 : 156,145.88 = 156,145.88 : x
  2. Step 2: Convert to fraction form
    66,201.75/156,145.88 = 156,145.88/x
  3. Step 3: Cross multiply
    66,201.75x = 156,145.88 × 156,145.88
  4. Step 4: Simplify right side
    66,201.75x = 24,381,534,279.52
  5. Step 5: Solve for x
    x = 24,381,534,279.52/66,201.75
  6. Step 6: Final answer
    x = 368,291.39

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.