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Finding the Third Proportional to 68,914 and 148,844

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Solution

The third proportional to 68,914 and 148,844 is: 321,480.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,914 : 148,844 = 148,844 : x
  2. Step 2: Convert to fraction form
    68,914/148,844 = 148,844/x
  3. Step 3: Cross multiply
    68,914x = 148,844 × 148,844
  4. Step 4: Simplify right side
    68,914x = 22,154,536,336
  5. Step 5: Solve for x
    x = 22,154,536,336/68,914
  6. Step 6: Final answer
    x = 321,480.92

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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.