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Finding the Third Proportional to 68,652 and 148,518

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Solution

The third proportional to 68,652 and 148,518 is: 321,295.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,652 : 148,518 = 148,518 : x
  2. Step 2: Convert to fraction form
    68,652/148,518 = 148,518/x
  3. Step 3: Cross multiply
    68,652x = 148,518 × 148,518
  4. Step 4: Simplify right side
    68,652x = 22,057,596,324
  5. Step 5: Solve for x
    x = 22,057,596,324/68,652
  6. Step 6: Final answer
    x = 321,295.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.