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Finding the Third Proportional to 104,528 and 159,249

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Solution

The third proportional to 104,528 and 159,249 is: 242,616.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,528 : 159,249 = 159,249 : x
  2. Step 2: Convert to fraction form
    104,528/159,249 = 159,249/x
  3. Step 3: Cross multiply
    104,528x = 159,249 × 159,249
  4. Step 4: Simplify right side
    104,528x = 25,360,244,001
  5. Step 5: Solve for x
    x = 25,360,244,001/104,528
  6. Step 6: Final answer
    x = 242,616.75

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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.