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Finding the Third Proportional to 71,866.50 and 167,859

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Solution

The third proportional to 71,866.50 and 167,859 is: 392,069.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,866.50 : 167,859 = 167,859 : x
  2. Step 2: Convert to fraction form
    71,866.50/167,859 = 167,859/x
  3. Step 3: Cross multiply
    71,866.50x = 167,859 × 167,859
  4. Step 4: Simplify right side
    71,866.50x = 28,176,643,881
  5. Step 5: Solve for x
    x = 28,176,643,881/71,866.50
  6. Step 6: Final answer
    x = 392,069.24

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.