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Finding the Third Proportional to 95,058 and 142,299

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Solution

The third proportional to 95,058 and 142,299 is: 213,017.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,058 : 142,299 = 142,299 : x
  2. Step 2: Convert to fraction form
    95,058/142,299 = 142,299/x
  3. Step 3: Cross multiply
    95,058x = 142,299 × 142,299
  4. Step 4: Simplify right side
    95,058x = 20,249,005,401
  5. Step 5: Solve for x
    x = 20,249,005,401/95,058
  6. Step 6: Final answer
    x = 213,017.37

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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.