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Finding the Third Proportional to 74,282 and 162,174

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Solution

The third proportional to 74,282 and 162,174 is: 354,061.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,282 : 162,174 = 162,174 : x
  2. Step 2: Convert to fraction form
    74,282/162,174 = 162,174/x
  3. Step 3: Cross multiply
    74,282x = 162,174 × 162,174
  4. Step 4: Simplify right side
    74,282x = 26,300,406,276
  5. Step 5: Solve for x
    x = 26,300,406,276/74,282
  6. Step 6: Final answer
    x = 354,061.63

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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.