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Finding the Third Proportional to 77,502 and 116,823

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Solution

The third proportional to 77,502 and 116,823 is: 176,093.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,502 : 116,823 = 116,823 : x
  2. Step 2: Convert to fraction form
    77,502/116,823 = 116,823/x
  3. Step 3: Cross multiply
    77,502x = 116,823 × 116,823
  4. Step 4: Simplify right side
    77,502x = 13,647,613,329
  5. Step 5: Solve for x
    x = 13,647,613,329/77,502
  6. Step 6: Final answer
    x = 176,093.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.