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Finding the Third Proportional to 88,034 and 186,976

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Solution

The third proportional to 88,034 and 186,976 is: 397,119.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,034 : 186,976 = 186,976 : x
  2. Step 2: Convert to fraction form
    88,034/186,976 = 186,976/x
  3. Step 3: Cross multiply
    88,034x = 186,976 × 186,976
  4. Step 4: Simplify right side
    88,034x = 34,960,024,576
  5. Step 5: Solve for x
    x = 34,960,024,576/88,034
  6. Step 6: Final answer
    x = 397,119.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.