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Finding the Third Proportional to 73,657.48 and 160,808.57

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Solution

The third proportional to 73,657.48 and 160,808.57 is: 351,076.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,657.48 : 160,808.57 = 160,808.57 : x
  2. Step 2: Convert to fraction form
    73,657.48/160,808.57 = 160,808.57/x
  3. Step 3: Cross multiply
    73,657.48x = 160,808.57 × 160,808.57
  4. Step 4: Simplify right side
    73,657.48x = 25,859,396,914.11
  5. Step 5: Solve for x
    x = 25,859,396,914.11/73,657.48
  6. Step 6: Final answer
    x = 351,076.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.