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Finding the Third Proportional to 66,475.69 and 142,291.69

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Solution

The third proportional to 66,475.69 and 142,291.69 is: 304,576.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,475.69 : 142,291.69 = 142,291.69 : x
  2. Step 2: Convert to fraction form
    66,475.69/142,291.69 = 142,291.69/x
  3. Step 3: Cross multiply
    66,475.69x = 142,291.69 × 142,291.69
  4. Step 4: Simplify right side
    66,475.69x = 20,246,924,331.60
  5. Step 5: Solve for x
    x = 20,246,924,331.60/66,475.69
  6. Step 6: Final answer
    x = 304,576.38

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.