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Finding the Third Proportional to 105,734.25 and 155,680.88

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Solution

The third proportional to 105,734.25 and 155,680.88 is: 229,221.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,734.25 : 155,680.88 = 155,680.88 : x
  2. Step 2: Convert to fraction form
    105,734.25/155,680.88 = 155,680.88/x
  3. Step 3: Cross multiply
    105,734.25x = 155,680.88 × 155,680.88
  4. Step 4: Simplify right side
    105,734.25x = 24,236,534,840.77
  5. Step 5: Solve for x
    x = 24,236,534,840.77/105,734.25
  6. Step 6: Final answer
    x = 229,221.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.