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Finding the Third Proportional to 67,089 and 143,574

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Solution

The third proportional to 67,089 and 143,574 is: 307,255.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,089 : 143,574 = 143,574 : x
  2. Step 2: Convert to fraction form
    67,089/143,574 = 143,574/x
  3. Step 3: Cross multiply
    67,089x = 143,574 × 143,574
  4. Step 4: Simplify right side
    67,089x = 20,613,493,476
  5. Step 5: Solve for x
    x = 20,613,493,476/67,089
  6. Step 6: Final answer
    x = 307,255.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.