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Finding the Third Proportional to 82,537 and 180,849

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Solution

The third proportional to 82,537 and 180,849 is: 396,263.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,537 : 180,849 = 180,849 : x
  2. Step 2: Convert to fraction form
    82,537/180,849 = 180,849/x
  3. Step 3: Cross multiply
    82,537x = 180,849 × 180,849
  4. Step 4: Simplify right side
    82,537x = 32,706,360,801
  5. Step 5: Solve for x
    x = 32,706,360,801/82,537
  6. Step 6: Final answer
    x = 396,263.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.