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Finding the Third Proportional to 57,519 and 88,844

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Solution

The third proportional to 57,519 and 88,844 is: 137,228.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,519 : 88,844 = 88,844 : x
  2. Step 2: Convert to fraction form
    57,519/88,844 = 88,844/x
  3. Step 3: Cross multiply
    57,519x = 88,844 × 88,844
  4. Step 4: Simplify right side
    57,519x = 7,893,256,336
  5. Step 5: Solve for x
    x = 7,893,256,336/57,519
  6. Step 6: Final answer
    x = 137,228.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.