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Finding the Third Proportional to 87,657.75 and 186,237

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Solution

The third proportional to 87,657.75 and 186,237 is: 395,677.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,657.75 : 186,237 = 186,237 : x
  2. Step 2: Convert to fraction form
    87,657.75/186,237 = 186,237/x
  3. Step 3: Cross multiply
    87,657.75x = 186,237 × 186,237
  4. Step 4: Simplify right side
    87,657.75x = 34,684,220,169
  5. Step 5: Solve for x
    x = 34,684,220,169/87,657.75
  6. Step 6: Final answer
    x = 395,677.74

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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.