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Finding the Third Proportional to 77,866 and 114,031

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Solution

The third proportional to 77,866 and 114,031 is: 166,992.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,866 : 114,031 = 114,031 : x
  2. Step 2: Convert to fraction form
    77,866/114,031 = 114,031/x
  3. Step 3: Cross multiply
    77,866x = 114,031 × 114,031
  4. Step 4: Simplify right side
    77,866x = 13,003,068,961
  5. Step 5: Solve for x
    x = 13,003,068,961/77,866
  6. Step 6: Final answer
    x = 166,992.90

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.