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Finding the Third Proportional to 119,922 and 185,291

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Solution

The third proportional to 119,922 and 185,291 is: 286,292.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,922 : 185,291 = 185,291 : x
  2. Step 2: Convert to fraction form
    119,922/185,291 = 185,291/x
  3. Step 3: Cross multiply
    119,922x = 185,291 × 185,291
  4. Step 4: Simplify right side
    119,922x = 34,332,754,681
  5. Step 5: Solve for x
    x = 34,332,754,681/119,922
  6. Step 6: Final answer
    x = 286,292.38

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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.