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Finding the Third Proportional to 88,132 and 186,309

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Solution

The third proportional to 88,132 and 186,309 is: 393,852.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,132 : 186,309 = 186,309 : x
  2. Step 2: Convert to fraction form
    88,132/186,309 = 186,309/x
  3. Step 3: Cross multiply
    88,132x = 186,309 × 186,309
  4. Step 4: Simplify right side
    88,132x = 34,711,043,481
  5. Step 5: Solve for x
    x = 34,711,043,481/88,132
  6. Step 6: Final answer
    x = 393,852.90

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.