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Finding the Third Proportional to 75,616 and 162,788

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Solution

The third proportional to 75,616 and 162,788 is: 350,454.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,616 : 162,788 = 162,788 : x
  2. Step 2: Convert to fraction form
    75,616/162,788 = 162,788/x
  3. Step 3: Cross multiply
    75,616x = 162,788 × 162,788
  4. Step 4: Simplify right side
    75,616x = 26,499,932,944
  5. Step 5: Solve for x
    x = 26,499,932,944/75,616
  6. Step 6: Final answer
    x = 350,454.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.