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Finding the Third Proportional to 119,184 and 261,126

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Solution

The third proportional to 119,184 and 261,126 is: 572,113.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,184 : 261,126 = 261,126 : x
  2. Step 2: Convert to fraction form
    119,184/261,126 = 261,126/x
  3. Step 3: Cross multiply
    119,184x = 261,126 × 261,126
  4. Step 4: Simplify right side
    119,184x = 68,186,787,876
  5. Step 5: Solve for x
    x = 68,186,787,876/119,184
  6. Step 6: Final answer
    x = 572,113.60

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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.