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Finding the Third Proportional to 55,229 and 86,121

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Solution

The third proportional to 55,229 and 86,121 is: 134,292.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,229 : 86,121 = 86,121 : x
  2. Step 2: Convert to fraction form
    55,229/86,121 = 86,121/x
  3. Step 3: Cross multiply
    55,229x = 86,121 × 86,121
  4. Step 4: Simplify right side
    55,229x = 7,416,826,641
  5. Step 5: Solve for x
    x = 7,416,826,641/55,229
  6. Step 6: Final answer
    x = 134,292.25

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.