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Finding the Third Proportional to 75,158 and 162,340

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Solution

The third proportional to 75,158 and 162,340 is: 350,651.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,158 : 162,340 = 162,340 : x
  2. Step 2: Convert to fraction form
    75,158/162,340 = 162,340/x
  3. Step 3: Cross multiply
    75,158x = 162,340 × 162,340
  4. Step 4: Simplify right side
    75,158x = 26,354,275,600
  5. Step 5: Solve for x
    x = 26,354,275,600/75,158
  6. Step 6: Final answer
    x = 350,651.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.