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Finding the Third Proportional to 25,171 and 55,076

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Solution

The third proportional to 25,171 and 55,076 is: 120,510.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,171 : 55,076 = 55,076 : x
  2. Step 2: Convert to fraction form
    25,171/55,076 = 55,076/x
  3. Step 3: Cross multiply
    25,171x = 55,076 × 55,076
  4. Step 4: Simplify right side
    25,171x = 3,033,365,776
  5. Step 5: Solve for x
    x = 3,033,365,776/25,171
  6. Step 6: Final answer
    x = 120,510.34

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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.