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Finding the Third Proportional to 55,194 and 82,791

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Solution

The third proportional to 55,194 and 82,791 is: 124,186.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,194 : 82,791 = 82,791 : x
  2. Step 2: Convert to fraction form
    55,194/82,791 = 82,791/x
  3. Step 3: Cross multiply
    55,194x = 82,791 × 82,791
  4. Step 4: Simplify right side
    55,194x = 6,854,349,681
  5. Step 5: Solve for x
    x = 6,854,349,681/55,194
  6. Step 6: Final answer
    x = 124,186.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.