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Finding the Third Proportional to 67,324 and 145,791

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Solution

The third proportional to 67,324 and 145,791 is: 315,712.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,324 : 145,791 = 145,791 : x
  2. Step 2: Convert to fraction form
    67,324/145,791 = 145,791/x
  3. Step 3: Cross multiply
    67,324x = 145,791 × 145,791
  4. Step 4: Simplify right side
    67,324x = 21,255,015,681
  5. Step 5: Solve for x
    x = 21,255,015,681/67,324
  6. Step 6: Final answer
    x = 315,712.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.