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Finding the Third Proportional to 74,116 and 162,074

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Solution

The third proportional to 74,116 and 162,074 is: 354,417.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,116 : 162,074 = 162,074 : x
  2. Step 2: Convert to fraction form
    74,116/162,074 = 162,074/x
  3. Step 3: Cross multiply
    74,116x = 162,074 × 162,074
  4. Step 4: Simplify right side
    74,116x = 26,267,981,476
  5. Step 5: Solve for x
    x = 26,267,981,476/74,116
  6. Step 6: Final answer
    x = 354,417.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.