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Finding the Third Proportional to 52,502 and 84,219.75

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Solution

The third proportional to 52,502 and 84,219.75 is: 135,098.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,502 : 84,219.75 = 84,219.75 : x
  2. Step 2: Convert to fraction form
    52,502/84,219.75 = 84,219.75/x
  3. Step 3: Cross multiply
    52,502x = 84,219.75 × 84,219.75
  4. Step 4: Simplify right side
    52,502x = 7,092,966,290.06
  5. Step 5: Solve for x
    x = 7,092,966,290.06/52,502
  6. Step 6: Final answer
    x = 135,098.97

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.