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Finding the Third Proportional to 77,233 and 115,569

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Solution

The third proportional to 77,233 and 115,569 is: 172,933.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,233 : 115,569 = 115,569 : x
  2. Step 2: Convert to fraction form
    77,233/115,569 = 115,569/x
  3. Step 3: Cross multiply
    77,233x = 115,569 × 115,569
  4. Step 4: Simplify right side
    77,233x = 13,356,193,761
  5. Step 5: Solve for x
    x = 13,356,193,761/77,233
  6. Step 6: Final answer
    x = 172,933.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.