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Finding the Third Proportional to 27,055 and 58,106

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Solution

The third proportional to 27,055 and 58,106 is: 124,794.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,055 : 58,106 = 58,106 : x
  2. Step 2: Convert to fraction form
    27,055/58,106 = 58,106/x
  3. Step 3: Cross multiply
    27,055x = 58,106 × 58,106
  4. Step 4: Simplify right side
    27,055x = 3,376,307,236
  5. Step 5: Solve for x
    x = 3,376,307,236/27,055
  6. Step 6: Final answer
    x = 124,794.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.