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Finding the Third Proportional to 115,524.50 and 169,281.75

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Solution

The third proportional to 115,524.50 and 169,281.75 is: 248,053.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,524.50 : 169,281.75 = 169,281.75 : x
  2. Step 2: Convert to fraction form
    115,524.50/169,281.75 = 169,281.75/x
  3. Step 3: Cross multiply
    115,524.50x = 169,281.75 × 169,281.75
  4. Step 4: Simplify right side
    115,524.50x = 28,656,310,883.06
  5. Step 5: Solve for x
    x = 28,656,310,883.06/115,524.50
  6. Step 6: Final answer
    x = 248,053.97

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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.