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Finding the Third Proportional to 75,134 and 162,300

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Solution

The third proportional to 75,134 and 162,300 is: 350,590.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,134 : 162,300 = 162,300 : x
  2. Step 2: Convert to fraction form
    75,134/162,300 = 162,300/x
  3. Step 3: Cross multiply
    75,134x = 162,300 × 162,300
  4. Step 4: Simplify right side
    75,134x = 26,341,290,000
  5. Step 5: Solve for x
    x = 26,341,290,000/75,134
  6. Step 6: Final answer
    x = 350,590.81

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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.