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Finding the Third Proportional to 67,762 and 148,652

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Solution

The third proportional to 67,762 and 148,652 is: 326,103.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,762 : 148,652 = 148,652 : x
  2. Step 2: Convert to fraction form
    67,762/148,652 = 148,652/x
  3. Step 3: Cross multiply
    67,762x = 148,652 × 148,652
  4. Step 4: Simplify right side
    67,762x = 22,097,417,104
  5. Step 5: Solve for x
    x = 22,097,417,104/67,762
  6. Step 6: Final answer
    x = 326,103.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.