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Finding the Third Proportional to 109,104.19 and 169,329.75

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Solution

The third proportional to 109,104.19 and 169,329.75 is: 262,799.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,104.19 : 169,329.75 = 169,329.75 : x
  2. Step 2: Convert to fraction form
    109,104.19/169,329.75 = 169,329.75/x
  3. Step 3: Cross multiply
    109,104.19x = 169,329.75 × 169,329.75
  4. Step 4: Simplify right side
    109,104.19x = 28,672,564,235.06
  5. Step 5: Solve for x
    x = 28,672,564,235.06/109,104.19
  6. Step 6: Final answer
    x = 262,799.85

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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.