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Finding the Third Proportional to 60,069 and 131,031

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Solution

The third proportional to 60,069 and 131,031 is: 285,823.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,069 : 131,031 = 131,031 : x
  2. Step 2: Convert to fraction form
    60,069/131,031 = 131,031/x
  3. Step 3: Cross multiply
    60,069x = 131,031 × 131,031
  4. Step 4: Simplify right side
    60,069x = 17,169,122,961
  5. Step 5: Solve for x
    x = 17,169,122,961/60,069
  6. Step 6: Final answer
    x = 285,823.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.