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Finding the Third Proportional to 55,010 and 80,163

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Solution

The third proportional to 55,010 and 80,163 is: 116,817.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,010 : 80,163 = 80,163 : x
  2. Step 2: Convert to fraction form
    55,010/80,163 = 80,163/x
  3. Step 3: Cross multiply
    55,010x = 80,163 × 80,163
  4. Step 4: Simplify right side
    55,010x = 6,426,106,569
  5. Step 5: Solve for x
    x = 6,426,106,569/55,010
  6. Step 6: Final answer
    x = 116,817.06

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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.