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Finding the Third Proportional to 127,482 and 186,707

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Solution

The third proportional to 127,482 and 186,707 is: 273,446.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,482 : 186,707 = 186,707 : x
  2. Step 2: Convert to fraction form
    127,482/186,707 = 186,707/x
  3. Step 3: Cross multiply
    127,482x = 186,707 × 186,707
  4. Step 4: Simplify right side
    127,482x = 34,859,503,849
  5. Step 5: Solve for x
    x = 34,859,503,849/127,482
  6. Step 6: Final answer
    x = 273,446.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.