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Finding the Third Proportional to 60,441 and 131,635

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Solution

The third proportional to 60,441 and 131,635 is: 286,689.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,441 : 131,635 = 131,635 : x
  2. Step 2: Convert to fraction form
    60,441/131,635 = 131,635/x
  3. Step 3: Cross multiply
    60,441x = 131,635 × 131,635
  4. Step 4: Simplify right side
    60,441x = 17,327,773,225
  5. Step 5: Solve for x
    x = 17,327,773,225/60,441
  6. Step 6: Final answer
    x = 286,689.06

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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.