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Finding the Third Proportional to 88,042 and 186,992

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Solution

The third proportional to 88,042 and 186,992 is: 397,151.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,042 : 186,992 = 186,992 : x
  2. Step 2: Convert to fraction form
    88,042/186,992 = 186,992/x
  3. Step 3: Cross multiply
    88,042x = 186,992 × 186,992
  4. Step 4: Simplify right side
    88,042x = 34,966,008,064
  5. Step 5: Solve for x
    x = 34,966,008,064/88,042
  6. Step 6: Final answer
    x = 397,151.45

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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.