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Finding the Third Proportional to 65,704 and 101,928

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Solution

The third proportional to 65,704 and 101,928 is: 158,123.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,704 : 101,928 = 101,928 : x
  2. Step 2: Convert to fraction form
    65,704/101,928 = 101,928/x
  3. Step 3: Cross multiply
    65,704x = 101,928 × 101,928
  4. Step 4: Simplify right side
    65,704x = 10,389,317,184
  5. Step 5: Solve for x
    x = 10,389,317,184/65,704
  6. Step 6: Final answer
    x = 158,123.05

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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.