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Finding the Third Proportional to 65,687 and 141,229

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Solution

The third proportional to 65,687 and 141,229 is: 303,646.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,687 : 141,229 = 141,229 : x
  2. Step 2: Convert to fraction form
    65,687/141,229 = 141,229/x
  3. Step 3: Cross multiply
    65,687x = 141,229 × 141,229
  4. Step 4: Simplify right side
    65,687x = 19,945,630,441
  5. Step 5: Solve for x
    x = 19,945,630,441/65,687
  6. Step 6: Final answer
    x = 303,646.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.