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Finding the Third Proportional to 57,377 and 94,819

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Solution

The third proportional to 57,377 and 94,819 is: 156,694.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,377 : 94,819 = 94,819 : x
  2. Step 2: Convert to fraction form
    57,377/94,819 = 94,819/x
  3. Step 3: Cross multiply
    57,377x = 94,819 × 94,819
  4. Step 4: Simplify right side
    57,377x = 8,990,642,761
  5. Step 5: Solve for x
    x = 8,990,642,761/57,377
  6. Step 6: Final answer
    x = 156,694.19

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.