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Finding the Third Proportional to 124,466 and 196,419

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Solution

The third proportional to 124,466 and 196,419 is: 309,967.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,466 : 196,419 = 196,419 : x
  2. Step 2: Convert to fraction form
    124,466/196,419 = 196,419/x
  3. Step 3: Cross multiply
    124,466x = 196,419 × 196,419
  4. Step 4: Simplify right side
    124,466x = 38,580,423,561
  5. Step 5: Solve for x
    x = 38,580,423,561/124,466
  6. Step 6: Final answer
    x = 309,967.57

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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.