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Finding the Third Proportional to 74,361 and 162,261

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Solution

The third proportional to 74,361 and 162,261 is: 354,065.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,361 : 162,261 = 162,261 : x
  2. Step 2: Convert to fraction form
    74,361/162,261 = 162,261/x
  3. Step 3: Cross multiply
    74,361x = 162,261 × 162,261
  4. Step 4: Simplify right side
    74,361x = 26,328,632,121
  5. Step 5: Solve for x
    x = 26,328,632,121/74,361
  6. Step 6: Final answer
    x = 354,065.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.