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Finding the Third Proportional to 74,270 and 162,088

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Solution

The third proportional to 74,270 and 162,088 is: 353,743.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,270 : 162,088 = 162,088 : x
  2. Step 2: Convert to fraction form
    74,270/162,088 = 162,088/x
  3. Step 3: Cross multiply
    74,270x = 162,088 × 162,088
  4. Step 4: Simplify right side
    74,270x = 26,272,519,744
  5. Step 5: Solve for x
    x = 26,272,519,744/74,270
  6. Step 6: Final answer
    x = 353,743.37

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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.