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Finding the Third Proportional to 50,537 and 84,221

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Solution

The third proportional to 50,537 and 84,221 is: 140,356.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,537 : 84,221 = 84,221 : x
  2. Step 2: Convert to fraction form
    50,537/84,221 = 84,221/x
  3. Step 3: Cross multiply
    50,537x = 84,221 × 84,221
  4. Step 4: Simplify right side
    50,537x = 7,093,176,841
  5. Step 5: Solve for x
    x = 7,093,176,841/50,537
  6. Step 6: Final answer
    x = 140,356.11

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.