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Finding the Third Proportional to 65,699 and 101,934

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Solution

The third proportional to 65,699 and 101,934 is: 158,153.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,699 : 101,934 = 101,934 : x
  2. Step 2: Convert to fraction form
    65,699/101,934 = 101,934/x
  3. Step 3: Cross multiply
    65,699x = 101,934 × 101,934
  4. Step 4: Simplify right side
    65,699x = 10,390,540,356
  5. Step 5: Solve for x
    x = 10,390,540,356/65,699
  6. Step 6: Final answer
    x = 158,153.71

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.