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Finding the Third Proportional to 25,062 and 59,271

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Solution

The third proportional to 25,062 and 59,271 is: 140,174.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,062 : 59,271 = 59,271 : x
  2. Step 2: Convert to fraction form
    25,062/59,271 = 59,271/x
  3. Step 3: Cross multiply
    25,062x = 59,271 × 59,271
  4. Step 4: Simplify right side
    25,062x = 3,513,051,441
  5. Step 5: Solve for x
    x = 3,513,051,441/25,062
  6. Step 6: Final answer
    x = 140,174.43

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.