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Finding the Third Proportional to 111,915 and 173,545.88

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Solution

The third proportional to 111,915 and 173,545.88 is: 269,116.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,915 : 173,545.88 = 173,545.88 : x
  2. Step 2: Convert to fraction form
    111,915/173,545.88 = 173,545.88/x
  3. Step 3: Cross multiply
    111,915x = 173,545.88 × 173,545.88
  4. Step 4: Simplify right side
    111,915x = 30,118,170,729.52
  5. Step 5: Solve for x
    x = 30,118,170,729.52/111,915
  6. Step 6: Final answer
    x = 269,116.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.