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Finding the Third Proportional to 75,411 and 162,567

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Solution

The third proportional to 75,411 and 162,567 is: 350,453.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,411 : 162,567 = 162,567 : x
  2. Step 2: Convert to fraction form
    75,411/162,567 = 162,567/x
  3. Step 3: Cross multiply
    75,411x = 162,567 × 162,567
  4. Step 4: Simplify right side
    75,411x = 26,428,029,489
  5. Step 5: Solve for x
    x = 26,428,029,489/75,411
  6. Step 6: Final answer
    x = 350,453.24

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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.