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Finding the Third Proportional to 55,604 and 86,227

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Solution

The third proportional to 55,604 and 86,227 is: 133,715.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,604 : 86,227 = 86,227 : x
  2. Step 2: Convert to fraction form
    55,604/86,227 = 86,227/x
  3. Step 3: Cross multiply
    55,604x = 86,227 × 86,227
  4. Step 4: Simplify right side
    55,604x = 7,435,095,529
  5. Step 5: Solve for x
    x = 7,435,095,529/55,604
  6. Step 6: Final answer
    x = 133,715.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.