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Finding the Third Proportional to 23,165 and 45,178

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Solution

The third proportional to 23,165 and 45,178 is: 88,109.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,165 : 45,178 = 45,178 : x
  2. Step 2: Convert to fraction form
    23,165/45,178 = 45,178/x
  3. Step 3: Cross multiply
    23,165x = 45,178 × 45,178
  4. Step 4: Simplify right side
    23,165x = 2,041,051,684
  5. Step 5: Solve for x
    x = 2,041,051,684/23,165
  6. Step 6: Final answer
    x = 88,109.29

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.