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Finding the Third Proportional to 124,596 and 193,248

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Solution

The third proportional to 124,596 and 193,248 is: 299,727.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,596 : 193,248 = 193,248 : x
  2. Step 2: Convert to fraction form
    124,596/193,248 = 193,248/x
  3. Step 3: Cross multiply
    124,596x = 193,248 × 193,248
  4. Step 4: Simplify right side
    124,596x = 37,344,789,504
  5. Step 5: Solve for x
    x = 37,344,789,504/124,596
  6. Step 6: Final answer
    x = 299,727.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.