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Finding the Third Proportional to 74,498 and 162,116

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Solution

The third proportional to 74,498 and 162,116 is: 352,782.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,498 : 162,116 = 162,116 : x
  2. Step 2: Convert to fraction form
    74,498/162,116 = 162,116/x
  3. Step 3: Cross multiply
    74,498x = 162,116 × 162,116
  4. Step 4: Simplify right side
    74,498x = 26,281,597,456
  5. Step 5: Solve for x
    x = 26,281,597,456/74,498
  6. Step 6: Final answer
    x = 352,782.59

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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.