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Finding the Third Proportional to 95,424 and 142,656

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Solution

The third proportional to 95,424 and 142,656 is: 213,266.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,424 : 142,656 = 142,656 : x
  2. Step 2: Convert to fraction form
    95,424/142,656 = 142,656/x
  3. Step 3: Cross multiply
    95,424x = 142,656 × 142,656
  4. Step 4: Simplify right side
    95,424x = 20,350,734,336
  5. Step 5: Solve for x
    x = 20,350,734,336/95,424
  6. Step 6: Final answer
    x = 213,266.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.