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Finding the Third Proportional to 77,651 and 116,356

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Solution

The third proportional to 77,651 and 116,356 is: 174,353.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,651 : 116,356 = 116,356 : x
  2. Step 2: Convert to fraction form
    77,651/116,356 = 116,356/x
  3. Step 3: Cross multiply
    77,651x = 116,356 × 116,356
  4. Step 4: Simplify right side
    77,651x = 13,538,718,736
  5. Step 5: Solve for x
    x = 13,538,718,736/77,651
  6. Step 6: Final answer
    x = 174,353.44

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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.