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Finding the Third Proportional to 55,590 and 86,265

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Solution

The third proportional to 55,590 and 86,265 is: 133,866.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,590 : 86,265 = 86,265 : x
  2. Step 2: Convert to fraction form
    55,590/86,265 = 86,265/x
  3. Step 3: Cross multiply
    55,590x = 86,265 × 86,265
  4. Step 4: Simplify right side
    55,590x = 7,441,650,225
  5. Step 5: Solve for x
    x = 7,441,650,225/55,590
  6. Step 6: Final answer
    x = 133,866.71

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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.