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Finding the Third Proportional to 52,190 and 84,031

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Solution

The third proportional to 52,190 and 84,031 is: 135,298.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,190 : 84,031 = 84,031 : x
  2. Step 2: Convert to fraction form
    52,190/84,031 = 84,031/x
  3. Step 3: Cross multiply
    52,190x = 84,031 × 84,031
  4. Step 4: Simplify right side
    52,190x = 7,061,208,961
  5. Step 5: Solve for x
    x = 7,061,208,961/52,190
  6. Step 6: Final answer
    x = 135,298.12

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.