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Finding the Third Proportional to 25,531 and 55,169

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Solution

The third proportional to 25,531 and 55,169 is: 119,212.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,531 : 55,169 = 55,169 : x
  2. Step 2: Convert to fraction form
    25,531/55,169 = 55,169/x
  3. Step 3: Cross multiply
    25,531x = 55,169 × 55,169
  4. Step 4: Simplify right side
    25,531x = 3,043,618,561
  5. Step 5: Solve for x
    x = 3,043,618,561/25,531
  6. Step 6: Final answer
    x = 119,212.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.