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Finding the Third Proportional to 70,448 and 95,950

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Solution

The third proportional to 70,448 and 95,950 is: 130,683.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,448 : 95,950 = 95,950 : x
  2. Step 2: Convert to fraction form
    70,448/95,950 = 95,950/x
  3. Step 3: Cross multiply
    70,448x = 95,950 × 95,950
  4. Step 4: Simplify right side
    70,448x = 9,206,402,500
  5. Step 5: Solve for x
    x = 9,206,402,500/70,448
  6. Step 6: Final answer
    x = 130,683.66

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.