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Finding the Third Proportional to 95,148 and 142,452

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Solution

The third proportional to 95,148 and 142,452 is: 213,273.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,148 : 142,452 = 142,452 : x
  2. Step 2: Convert to fraction form
    95,148/142,452 = 142,452/x
  3. Step 3: Cross multiply
    95,148x = 142,452 × 142,452
  4. Step 4: Simplify right side
    95,148x = 20,292,572,304
  5. Step 5: Solve for x
    x = 20,292,572,304/95,148
  6. Step 6: Final answer
    x = 213,273.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.