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Finding the Third Proportional to 72,279 and 160,042.50

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Solution

The third proportional to 72,279 and 160,042.50 is: 354,371.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,279 : 160,042.50 = 160,042.50 : x
  2. Step 2: Convert to fraction form
    72,279/160,042.50 = 160,042.50/x
  3. Step 3: Cross multiply
    72,279x = 160,042.50 × 160,042.50
  4. Step 4: Simplify right side
    72,279x = 25,613,601,806.25
  5. Step 5: Solve for x
    x = 25,613,601,806.25/72,279
  6. Step 6: Final answer
    x = 354,371.28

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.