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Finding the Third Proportional to 77,956 and 169,578

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Solution

The third proportional to 77,956 and 169,578 is: 368,883.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,956 : 169,578 = 169,578 : x
  2. Step 2: Convert to fraction form
    77,956/169,578 = 169,578/x
  3. Step 3: Cross multiply
    77,956x = 169,578 × 169,578
  4. Step 4: Simplify right side
    77,956x = 28,756,698,084
  5. Step 5: Solve for x
    x = 28,756,698,084/77,956
  6. Step 6: Final answer
    x = 368,883.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.