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Finding the Third Proportional to 95,246 and 142,401

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Solution

The third proportional to 95,246 and 142,401 is: 212,901.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,246 : 142,401 = 142,401 : x
  2. Step 2: Convert to fraction form
    95,246/142,401 = 142,401/x
  3. Step 3: Cross multiply
    95,246x = 142,401 × 142,401
  4. Step 4: Simplify right side
    95,246x = 20,278,044,801
  5. Step 5: Solve for x
    x = 20,278,044,801/95,246
  6. Step 6: Final answer
    x = 212,901.80

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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.