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Finding the Third Proportional to 95,294 and 142,478

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Solution

The third proportional to 95,294 and 142,478 is: 213,024.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,294 : 142,478 = 142,478 : x
  2. Step 2: Convert to fraction form
    95,294/142,478 = 142,478/x
  3. Step 3: Cross multiply
    95,294x = 142,478 × 142,478
  4. Step 4: Simplify right side
    95,294x = 20,299,980,484
  5. Step 5: Solve for x
    x = 20,299,980,484/95,294
  6. Step 6: Final answer
    x = 213,024.75

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