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Finding the Third Proportional to 72,357 and 111,815

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Solution

The third proportional to 72,357 and 111,815 is: 172,790.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,357 : 111,815 = 111,815 : x
  2. Step 2: Convert to fraction form
    72,357/111,815 = 111,815/x
  3. Step 3: Cross multiply
    72,357x = 111,815 × 111,815
  4. Step 4: Simplify right side
    72,357x = 12,502,594,225
  5. Step 5: Solve for x
    x = 12,502,594,225/72,357
  6. Step 6: Final answer
    x = 172,790.39

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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.