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Finding the Third Proportional to 25,090 and 59,225

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Solution

The third proportional to 25,090 and 59,225 is: 139,800.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,090 : 59,225 = 59,225 : x
  2. Step 2: Convert to fraction form
    25,090/59,225 = 59,225/x
  3. Step 3: Cross multiply
    25,090x = 59,225 × 59,225
  4. Step 4: Simplify right side
    25,090x = 3,507,600,625
  5. Step 5: Solve for x
    x = 3,507,600,625/25,090
  6. Step 6: Final answer
    x = 139,800.74

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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.