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Finding the Third Proportional to 104,894 and 159,600

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Solution

The third proportional to 104,894 and 159,600 is: 242,837.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,894 : 159,600 = 159,600 : x
  2. Step 2: Convert to fraction form
    104,894/159,600 = 159,600/x
  3. Step 3: Cross multiply
    104,894x = 159,600 × 159,600
  4. Step 4: Simplify right side
    104,894x = 25,472,160,000
  5. Step 5: Solve for x
    x = 25,472,160,000/104,894
  6. Step 6: Final answer
    x = 242,837.15

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.