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Finding the Third Proportional to 109,149.19 and 163,049.63

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Solution

The third proportional to 109,149.19 and 163,049.63 is: 243,567.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,149.19 : 163,049.63 = 163,049.63 : x
  2. Step 2: Convert to fraction form
    109,149.19/163,049.63 = 163,049.63/x
  3. Step 3: Cross multiply
    109,149.19x = 163,049.63 × 163,049.63
  4. Step 4: Simplify right side
    109,149.19x = 26,585,180,212.64
  5. Step 5: Solve for x
    x = 26,585,180,212.64/109,149.19
  6. Step 6: Final answer
    x = 243,567.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.