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Finding the Third Proportional to 117,982 and 176,986

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Solution

The third proportional to 117,982 and 176,986 is: 265,498.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,982 : 176,986 = 176,986 : x
  2. Step 2: Convert to fraction form
    117,982/176,986 = 176,986/x
  3. Step 3: Cross multiply
    117,982x = 176,986 × 176,986
  4. Step 4: Simplify right side
    117,982x = 31,324,044,196
  5. Step 5: Solve for x
    x = 31,324,044,196/117,982
  6. Step 6: Final answer
    x = 265,498.50

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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.