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Finding the Third Proportional to 68,176 and 148,982

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Solution

The third proportional to 68,176 and 148,982 is: 325,563.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,176 : 148,982 = 148,982 : x
  2. Step 2: Convert to fraction form
    68,176/148,982 = 148,982/x
  3. Step 3: Cross multiply
    68,176x = 148,982 × 148,982
  4. Step 4: Simplify right side
    68,176x = 22,195,636,324
  5. Step 5: Solve for x
    x = 22,195,636,324/68,176
  6. Step 6: Final answer
    x = 325,563.78

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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.