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Finding the Third Proportional to 64,544 and 95,088

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Solution

The third proportional to 64,544 and 95,088 is: 140,086.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,544 : 95,088 = 95,088 : x
  2. Step 2: Convert to fraction form
    64,544/95,088 = 95,088/x
  3. Step 3: Cross multiply
    64,544x = 95,088 × 95,088
  4. Step 4: Simplify right side
    64,544x = 9,041,727,744
  5. Step 5: Solve for x
    x = 9,041,727,744/64,544
  6. Step 6: Final answer
    x = 140,086.26

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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.