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Finding the Third Proportional to 109,559.25 and 163,901.25

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Solution

The third proportional to 109,559.25 and 163,901.25 is: 245,197.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,559.25 : 163,901.25 = 163,901.25 : x
  2. Step 2: Convert to fraction form
    109,559.25/163,901.25 = 163,901.25/x
  3. Step 3: Cross multiply
    109,559.25x = 163,901.25 × 163,901.25
  4. Step 4: Simplify right side
    109,559.25x = 26,863,619,751.56
  5. Step 5: Solve for x
    x = 26,863,619,751.56/109,559.25
  6. Step 6: Final answer
    x = 245,197.19

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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.