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Finding the Third Proportional to 25,064 and 59,380

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Solution

The third proportional to 25,064 and 59,380 is: 140,679.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,064 : 59,380 = 59,380 : x
  2. Step 2: Convert to fraction form
    25,064/59,380 = 59,380/x
  3. Step 3: Cross multiply
    25,064x = 59,380 × 59,380
  4. Step 4: Simplify right side
    25,064x = 3,525,984,400
  5. Step 5: Solve for x
    x = 3,525,984,400/25,064
  6. Step 6: Final answer
    x = 140,679.24

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.