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Finding the Third Proportional to 65,232 and 95,934

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Solution

The third proportional to 65,232 and 95,934 is: 141,086.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,232 : 95,934 = 95,934 : x
  2. Step 2: Convert to fraction form
    65,232/95,934 = 95,934/x
  3. Step 3: Cross multiply
    65,232x = 95,934 × 95,934
  4. Step 4: Simplify right side
    65,232x = 9,203,332,356
  5. Step 5: Solve for x
    x = 9,203,332,356/65,232
  6. Step 6: Final answer
    x = 141,086.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.