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Finding the Third Proportional to 25,269 and 42,111

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Solution

The third proportional to 25,269 and 42,111 is: 70,178.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,269 : 42,111 = 42,111 : x
  2. Step 2: Convert to fraction form
    25,269/42,111 = 42,111/x
  3. Step 3: Cross multiply
    25,269x = 42,111 × 42,111
  4. Step 4: Simplify right side
    25,269x = 1,773,336,321
  5. Step 5: Solve for x
    x = 1,773,336,321/25,269
  6. Step 6: Final answer
    x = 70,178.33

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.