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Finding the Third Proportional to 83,860 and 180,848

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Solution

The third proportional to 83,860 and 180,848 is: 390,007.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,860 : 180,848 = 180,848 : x
  2. Step 2: Convert to fraction form
    83,860/180,848 = 180,848/x
  3. Step 3: Cross multiply
    83,860x = 180,848 × 180,848
  4. Step 4: Simplify right side
    83,860x = 32,705,999,104
  5. Step 5: Solve for x
    x = 32,705,999,104/83,860
  6. Step 6: Final answer
    x = 390,007.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.