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Finding the Third Proportional to 95,053 and 142,294

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Solution

The third proportional to 95,053 and 142,294 is: 213,013.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,053 : 142,294 = 142,294 : x
  2. Step 2: Convert to fraction form
    95,053/142,294 = 142,294/x
  3. Step 3: Cross multiply
    95,053x = 142,294 × 142,294
  4. Step 4: Simplify right side
    95,053x = 20,247,582,436
  5. Step 5: Solve for x
    x = 20,247,582,436/95,053
  6. Step 6: Final answer
    x = 213,013.61

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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.