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Finding the Third Proportional to 67,691.25 and 148,506.75

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Solution

The third proportional to 67,691.25 and 148,506.75 is: 325,806.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,691.25 : 148,506.75 = 148,506.75 : x
  2. Step 2: Convert to fraction form
    67,691.25/148,506.75 = 148,506.75/x
  3. Step 3: Cross multiply
    67,691.25x = 148,506.75 × 148,506.75
  4. Step 4: Simplify right side
    67,691.25x = 22,054,254,795.56
  5. Step 5: Solve for x
    x = 22,054,254,795.56/67,691.25
  6. Step 6: Final answer
    x = 325,806.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.