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Finding the Third Proportional to 25,046 and 59,231

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Solution

The third proportional to 25,046 and 59,231 is: 140,074.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,046 : 59,231 = 59,231 : x
  2. Step 2: Convert to fraction form
    25,046/59,231 = 59,231/x
  3. Step 3: Cross multiply
    25,046x = 59,231 × 59,231
  4. Step 4: Simplify right side
    25,046x = 3,508,311,361
  5. Step 5: Solve for x
    x = 3,508,311,361/25,046
  6. Step 6: Final answer
    x = 140,074.72

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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.