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Finding the Third Proportional to 25,300 and 59,110

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Solution

The third proportional to 25,300 and 59,110 is: 138,102.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,300 : 59,110 = 59,110 : x
  2. Step 2: Convert to fraction form
    25,300/59,110 = 59,110/x
  3. Step 3: Cross multiply
    25,300x = 59,110 × 59,110
  4. Step 4: Simplify right side
    25,300x = 3,493,992,100
  5. Step 5: Solve for x
    x = 3,493,992,100/25,300
  6. Step 6: Final answer
    x = 138,102.45

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.