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Finding the Third Proportional to 39,537 and 85,122

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Solution

The third proportional to 39,537 and 85,122 is: 183,265.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,537 : 85,122 = 85,122 : x
  2. Step 2: Convert to fraction form
    39,537/85,122 = 85,122/x
  3. Step 3: Cross multiply
    39,537x = 85,122 × 85,122
  4. Step 4: Simplify right side
    39,537x = 7,245,754,884
  5. Step 5: Solve for x
    x = 7,245,754,884/39,537
  6. Step 6: Final answer
    x = 183,265.17

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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.