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Finding the Third Proportional to 89,240 and 143,508

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Solution

The third proportional to 89,240 and 143,508 is: 230,777.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,240 : 143,508 = 143,508 : x
  2. Step 2: Convert to fraction form
    89,240/143,508 = 143,508/x
  3. Step 3: Cross multiply
    89,240x = 143,508 × 143,508
  4. Step 4: Simplify right side
    89,240x = 20,594,546,064
  5. Step 5: Solve for x
    x = 20,594,546,064/89,240
  6. Step 6: Final answer
    x = 230,777.07

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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.