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Finding the Third Proportional to 74,290 and 162,132

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Solution

The third proportional to 74,290 and 162,132 is: 353,840.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,290 : 162,132 = 162,132 : x
  2. Step 2: Convert to fraction form
    74,290/162,132 = 162,132/x
  3. Step 3: Cross multiply
    74,290x = 162,132 × 162,132
  4. Step 4: Simplify right side
    74,290x = 26,286,785,424
  5. Step 5: Solve for x
    x = 26,286,785,424/74,290
  6. Step 6: Final answer
    x = 353,840.16

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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.