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Finding the Third Proportional to 124,229.25 and 193,723.88

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Solution

The third proportional to 124,229.25 and 193,723.88 is: 302,094.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,229.25 : 193,723.88 = 193,723.88 : x
  2. Step 2: Convert to fraction form
    124,229.25/193,723.88 = 193,723.88/x
  3. Step 3: Cross multiply
    124,229.25x = 193,723.88 × 193,723.88
  4. Step 4: Simplify right side
    124,229.25x = 37,528,939,745.02
  5. Step 5: Solve for x
    x = 37,528,939,745.02/124,229.25
  6. Step 6: Final answer
    x = 302,094.23

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.