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Finding the Third Proportional to 124,468 and 196,422

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Solution

The third proportional to 124,468 and 196,422 is: 309,972.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,468 : 196,422 = 196,422 : x
  2. Step 2: Convert to fraction form
    124,468/196,422 = 196,422/x
  3. Step 3: Cross multiply
    124,468x = 196,422 × 196,422
  4. Step 4: Simplify right side
    124,468x = 38,581,602,084
  5. Step 5: Solve for x
    x = 38,581,602,084/124,468
  6. Step 6: Final answer
    x = 309,972.06

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.