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Finding the Third Proportional to 119,496 and 183,422

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Solution

The third proportional to 119,496 and 183,422 is: 281,546.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,496 : 183,422 = 183,422 : x
  2. Step 2: Convert to fraction form
    119,496/183,422 = 183,422/x
  3. Step 3: Cross multiply
    119,496x = 183,422 × 183,422
  4. Step 4: Simplify right side
    119,496x = 33,643,630,084
  5. Step 5: Solve for x
    x = 33,643,630,084/119,496
  6. Step 6: Final answer
    x = 281,546.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.