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Finding the Third Proportional to 66,123.50 and 156,067.50

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Solution

The third proportional to 66,123.50 and 156,067.50 is: 368,357.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,123.50 : 156,067.50 = 156,067.50 : x
  2. Step 2: Convert to fraction form
    66,123.50/156,067.50 = 156,067.50/x
  3. Step 3: Cross multiply
    66,123.50x = 156,067.50 × 156,067.50
  4. Step 4: Simplify right side
    66,123.50x = 24,357,064,556.25
  5. Step 5: Solve for x
    x = 24,357,064,556.25/66,123.50
  6. Step 6: Final answer
    x = 368,357.16

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