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Finding the Third Proportional to 89,066 and 142,023

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Solution

The third proportional to 89,066 and 142,023 is: 226,467.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,066 : 142,023 = 142,023 : x
  2. Step 2: Convert to fraction form
    89,066/142,023 = 142,023/x
  3. Step 3: Cross multiply
    89,066x = 142,023 × 142,023
  4. Step 4: Simplify right side
    89,066x = 20,170,532,529
  5. Step 5: Solve for x
    x = 20,170,532,529/89,066
  6. Step 6: Final answer
    x = 226,467.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.