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Finding the Third Proportional to 104,332.50 and 156,521.25

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Solution

The third proportional to 104,332.50 and 156,521.25 is: 234,815.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,332.50 : 156,521.25 = 156,521.25 : x
  2. Step 2: Convert to fraction form
    104,332.50/156,521.25 = 156,521.25/x
  3. Step 3: Cross multiply
    104,332.50x = 156,521.25 × 156,521.25
  4. Step 4: Simplify right side
    104,332.50x = 24,498,901,701.56
  5. Step 5: Solve for x
    x = 24,498,901,701.56/104,332.50
  6. Step 6: Final answer
    x = 234,815.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.