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Finding the Third Proportional to 67,091 and 143,578

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Solution

The third proportional to 67,091 and 143,578 is: 307,263.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,091 : 143,578 = 143,578 : x
  2. Step 2: Convert to fraction form
    67,091/143,578 = 143,578/x
  3. Step 3: Cross multiply
    67,091x = 143,578 × 143,578
  4. Step 4: Simplify right side
    67,091x = 20,614,642,084
  5. Step 5: Solve for x
    x = 20,614,642,084/67,091
  6. Step 6: Final answer
    x = 307,263.90

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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.