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Finding the Third Proportional to 136,332 and 199,914

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Solution

The third proportional to 136,332 and 199,914 is: 293,149.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,332 : 199,914 = 199,914 : x
  2. Step 2: Convert to fraction form
    136,332/199,914 = 199,914/x
  3. Step 3: Cross multiply
    136,332x = 199,914 × 199,914
  4. Step 4: Simplify right side
    136,332x = 39,965,607,396
  5. Step 5: Solve for x
    x = 39,965,607,396/136,332
  6. Step 6: Final answer
    x = 293,149.13

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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.