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Finding the Third Proportional to 55,584 and 86,203

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Solution

The third proportional to 55,584 and 86,203 is: 133,688.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,584 : 86,203 = 86,203 : x
  2. Step 2: Convert to fraction form
    55,584/86,203 = 86,203/x
  3. Step 3: Cross multiply
    55,584x = 86,203 × 86,203
  4. Step 4: Simplify right side
    55,584x = 7,430,957,209
  5. Step 5: Solve for x
    x = 7,430,957,209/55,584
  6. Step 6: Final answer
    x = 133,688.78

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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.