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Finding the Third Proportional to 72,187 and 152,273

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Solution

The third proportional to 72,187 and 152,273 is: 321,208.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,187 : 152,273 = 152,273 : x
  2. Step 2: Convert to fraction form
    72,187/152,273 = 152,273/x
  3. Step 3: Cross multiply
    72,187x = 152,273 × 152,273
  4. Step 4: Simplify right side
    72,187x = 23,187,066,529
  5. Step 5: Solve for x
    x = 23,187,066,529/72,187
  6. Step 6: Final answer
    x = 321,208.34

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.