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Finding the Third Proportional to 76,178 and 115,966

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Solution

The third proportional to 76,178 and 115,966 is: 176,535.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,178 : 115,966 = 115,966 : x
  2. Step 2: Convert to fraction form
    76,178/115,966 = 115,966/x
  3. Step 3: Cross multiply
    76,178x = 115,966 × 115,966
  4. Step 4: Simplify right side
    76,178x = 13,448,113,156
  5. Step 5: Solve for x
    x = 13,448,113,156/76,178
  6. Step 6: Final answer
    x = 176,535.39

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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.