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Finding the Third Proportional to 72,693.70 and 157,062.80

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Solution

The third proportional to 72,693.70 and 157,062.80 is: 339,351.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,693.70 : 157,062.80 = 157,062.80 : x
  2. Step 2: Convert to fraction form
    72,693.70/157,062.80 = 157,062.80/x
  3. Step 3: Cross multiply
    72,693.70x = 157,062.80 × 157,062.80
  4. Step 4: Simplify right side
    72,693.70x = 24,668,722,162.20
  5. Step 5: Solve for x
    x = 24,668,722,162.20/72,693.70
  6. Step 6: Final answer
    x = 339,351.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.