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Finding the Third Proportional to 72,022 and 95,570.50

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Solution

The third proportional to 72,022 and 95,570.50 is: 126,818.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,022 : 95,570.50 = 95,570.50 : x
  2. Step 2: Convert to fraction form
    72,022/95,570.50 = 95,570.50/x
  3. Step 3: Cross multiply
    72,022x = 95,570.50 × 95,570.50
  4. Step 4: Simplify right side
    72,022x = 9,133,720,470.25
  5. Step 5: Solve for x
    x = 9,133,720,470.25/72,022
  6. Step 6: Final answer
    x = 126,818.48

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.