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Finding the Third Proportional to 73,215.14 and 148,467.30

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Solution

The third proportional to 73,215.14 and 148,467.30 is: 301,065.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,215.14 : 148,467.30 = 148,467.30 : x
  2. Step 2: Convert to fraction form
    73,215.14/148,467.30 = 148,467.30/x
  3. Step 3: Cross multiply
    73,215.14x = 148,467.30 × 148,467.30
  4. Step 4: Simplify right side
    73,215.14x = 22,042,540,561.17
  5. Step 5: Solve for x
    x = 22,042,540,561.17/73,215.14
  6. Step 6: Final answer
    x = 301,065.33

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.