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Finding the Third Proportional to 23,878 and 56,167

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Solution

The third proportional to 23,878 and 56,167 is: 132,118.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,878 : 56,167 = 56,167 : x
  2. Step 2: Convert to fraction form
    23,878/56,167 = 56,167/x
  3. Step 3: Cross multiply
    23,878x = 56,167 × 56,167
  4. Step 4: Simplify right side
    23,878x = 3,154,731,889
  5. Step 5: Solve for x
    x = 3,154,731,889/23,878
  6. Step 6: Final answer
    x = 132,118.77

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.