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Finding the Third Proportional to 75,218 and 162,190

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Solution

The third proportional to 75,218 and 162,190 is: 349,724.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,218 : 162,190 = 162,190 : x
  2. Step 2: Convert to fraction form
    75,218/162,190 = 162,190/x
  3. Step 3: Cross multiply
    75,218x = 162,190 × 162,190
  4. Step 4: Simplify right side
    75,218x = 26,305,596,100
  5. Step 5: Solve for x
    x = 26,305,596,100/75,218
  6. Step 6: Final answer
    x = 349,724.75

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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.