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Finding the Third Proportional to 76,175 and 115,884

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Solution

The third proportional to 76,175 and 115,884 is: 176,292.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,175 : 115,884 = 115,884 : x
  2. Step 2: Convert to fraction form
    76,175/115,884 = 115,884/x
  3. Step 3: Cross multiply
    76,175x = 115,884 × 115,884
  4. Step 4: Simplify right side
    76,175x = 13,429,101,456
  5. Step 5: Solve for x
    x = 13,429,101,456/76,175
  6. Step 6: Final answer
    x = 176,292.77

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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.