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Finding the Third Proportional to 109,579.50 and 163,927.13

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Solution

The third proportional to 109,579.50 and 163,927.13 is: 245,229.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,579.50 : 163,927.13 = 163,927.13 : x
  2. Step 2: Convert to fraction form
    109,579.50/163,927.13 = 163,927.13/x
  3. Step 3: Cross multiply
    109,579.50x = 163,927.13 × 163,927.13
  4. Step 4: Simplify right side
    109,579.50x = 26,872,102,310.77
  5. Step 5: Solve for x
    x = 26,872,102,310.77/109,579.50
  6. Step 6: Final answer
    x = 245,229.28

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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.