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Finding the Third Proportional to 65,658 and 95,613

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Solution

The third proportional to 65,658 and 95,613 is: 139,234.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,658 : 95,613 = 95,613 : x
  2. Step 2: Convert to fraction form
    65,658/95,613 = 95,613/x
  3. Step 3: Cross multiply
    65,658x = 95,613 × 95,613
  4. Step 4: Simplify right side
    65,658x = 9,141,845,769
  5. Step 5: Solve for x
    x = 9,141,845,769/65,658
  6. Step 6: Final answer
    x = 139,234.30

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.