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Finding the Third Proportional to 83,022 and 180,006

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Solution

The third proportional to 83,022 and 180,006 is: 390,284.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,022 : 180,006 = 180,006 : x
  2. Step 2: Convert to fraction form
    83,022/180,006 = 180,006/x
  3. Step 3: Cross multiply
    83,022x = 180,006 × 180,006
  4. Step 4: Simplify right side
    83,022x = 32,402,160,036
  5. Step 5: Solve for x
    x = 32,402,160,036/83,022
  6. Step 6: Final answer
    x = 390,284.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.