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Finding the Third Proportional to 127,230 and 186,957

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Solution

The third proportional to 127,230 and 186,957 is: 274,722.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,230 : 186,957 = 186,957 : x
  2. Step 2: Convert to fraction form
    127,230/186,957 = 186,957/x
  3. Step 3: Cross multiply
    127,230x = 186,957 × 186,957
  4. Step 4: Simplify right side
    127,230x = 34,952,919,849
  5. Step 5: Solve for x
    x = 34,952,919,849/127,230
  6. Step 6: Final answer
    x = 274,722.31

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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.