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Finding the Third Proportional to 83,268 and 183,132

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Solution

The third proportional to 83,268 and 183,132 is: 402,763.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,268 : 183,132 = 183,132 : x
  2. Step 2: Convert to fraction form
    83,268/183,132 = 183,132/x
  3. Step 3: Cross multiply
    83,268x = 183,132 × 183,132
  4. Step 4: Simplify right side
    83,268x = 33,537,329,424
  5. Step 5: Solve for x
    x = 33,537,329,424/83,268
  6. Step 6: Final answer
    x = 402,763.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.