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Finding the Third Proportional to 88,614 and 172,849.50

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Solution

The third proportional to 88,614 and 172,849.50 is: 337,158.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,614 : 172,849.50 = 172,849.50 : x
  2. Step 2: Convert to fraction form
    88,614/172,849.50 = 172,849.50/x
  3. Step 3: Cross multiply
    88,614x = 172,849.50 × 172,849.50
  4. Step 4: Simplify right side
    88,614x = 29,876,949,650.25
  5. Step 5: Solve for x
    x = 29,876,949,650.25/88,614
  6. Step 6: Final answer
    x = 337,158.35

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.