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Finding the Third Proportional to 25,202 and 55,228

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Solution

The third proportional to 25,202 and 55,228 is: 121,027.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,202 : 55,228 = 55,228 : x
  2. Step 2: Convert to fraction form
    25,202/55,228 = 55,228/x
  3. Step 3: Cross multiply
    25,202x = 55,228 × 55,228
  4. Step 4: Simplify right side
    25,202x = 3,050,131,984
  5. Step 5: Solve for x
    x = 3,050,131,984/25,202
  6. Step 6: Final answer
    x = 121,027.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.