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Finding the Third Proportional to 73,053 and 157,204

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Solution

The third proportional to 73,053 and 157,204 is: 338,289.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,053 : 157,204 = 157,204 : x
  2. Step 2: Convert to fraction form
    73,053/157,204 = 157,204/x
  3. Step 3: Cross multiply
    73,053x = 157,204 × 157,204
  4. Step 4: Simplify right side
    73,053x = 24,713,097,616
  5. Step 5: Solve for x
    x = 24,713,097,616/73,053
  6. Step 6: Final answer
    x = 338,289.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.