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Finding the Third Proportional to 124,578 and 194,643

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Solution

The third proportional to 124,578 and 194,643 is: 304,113.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,578 : 194,643 = 194,643 : x
  2. Step 2: Convert to fraction form
    124,578/194,643 = 194,643/x
  3. Step 3: Cross multiply
    124,578x = 194,643 × 194,643
  4. Step 4: Simplify right side
    124,578x = 37,885,897,449
  5. Step 5: Solve for x
    x = 37,885,897,449/124,578
  6. Step 6: Final answer
    x = 304,113.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.