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Finding the Third Proportional to 55,214 and 86,101

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Solution

The third proportional to 55,214 and 86,101 is: 134,266.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,214 : 86,101 = 86,101 : x
  2. Step 2: Convert to fraction form
    55,214/86,101 = 86,101/x
  3. Step 3: Cross multiply
    55,214x = 86,101 × 86,101
  4. Step 4: Simplify right side
    55,214x = 7,413,382,201
  5. Step 5: Solve for x
    x = 7,413,382,201/55,214
  6. Step 6: Final answer
    x = 134,266.35

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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.