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Finding the Third Proportional to 83,658 and 180,132

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Solution

The third proportional to 83,658 and 180,132 is: 387,859.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,658 : 180,132 = 180,132 : x
  2. Step 2: Convert to fraction form
    83,658/180,132 = 180,132/x
  3. Step 3: Cross multiply
    83,658x = 180,132 × 180,132
  4. Step 4: Simplify right side
    83,658x = 32,447,537,424
  5. Step 5: Solve for x
    x = 32,447,537,424/83,658
  6. Step 6: Final answer
    x = 387,859.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.