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Finding the Third Proportional to 66,404 and 141,592

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Solution

The third proportional to 66,404 and 141,592 is: 301,913.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,404 : 141,592 = 141,592 : x
  2. Step 2: Convert to fraction form
    66,404/141,592 = 141,592/x
  3. Step 3: Cross multiply
    66,404x = 141,592 × 141,592
  4. Step 4: Simplify right side
    66,404x = 20,048,294,464
  5. Step 5: Solve for x
    x = 20,048,294,464/66,404
  6. Step 6: Final answer
    x = 301,913.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.