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Finding the Third Proportional to 88,031 and 186,970

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Solution

The third proportional to 88,031 and 186,970 is: 397,107.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,031 : 186,970 = 186,970 : x
  2. Step 2: Convert to fraction form
    88,031/186,970 = 186,970/x
  3. Step 3: Cross multiply
    88,031x = 186,970 × 186,970
  4. Step 4: Simplify right side
    88,031x = 34,957,780,900
  5. Step 5: Solve for x
    x = 34,957,780,900/88,031
  6. Step 6: Final answer
    x = 397,107.62

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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.