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Finding the Third Proportional to 127,165 and 186,850

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Solution

The third proportional to 127,165 and 186,850 is: 274,548.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,165 : 186,850 = 186,850 : x
  2. Step 2: Convert to fraction form
    127,165/186,850 = 186,850/x
  3. Step 3: Cross multiply
    127,165x = 186,850 × 186,850
  4. Step 4: Simplify right side
    127,165x = 34,912,922,500
  5. Step 5: Solve for x
    x = 34,912,922,500/127,165
  6. Step 6: Final answer
    x = 274,548.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.