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Finding the Third Proportional to 89,242 and 143,511

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Solution

The third proportional to 89,242 and 143,511 is: 230,781.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,242 : 143,511 = 143,511 : x
  2. Step 2: Convert to fraction form
    89,242/143,511 = 143,511/x
  3. Step 3: Cross multiply
    89,242x = 143,511 × 143,511
  4. Step 4: Simplify right side
    89,242x = 20,595,407,121
  5. Step 5: Solve for x
    x = 20,595,407,121/89,242
  6. Step 6: Final answer
    x = 230,781.55

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.