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Finding the Third Proportional to 57,504 and 77,284

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Solution

The third proportional to 57,504 and 77,284 is: 103,867.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,504 : 77,284 = 77,284 : x
  2. Step 2: Convert to fraction form
    57,504/77,284 = 77,284/x
  3. Step 3: Cross multiply
    57,504x = 77,284 × 77,284
  4. Step 4: Simplify right side
    57,504x = 5,972,816,656
  5. Step 5: Solve for x
    x = 5,972,816,656/57,504
  6. Step 6: Final answer
    x = 103,867.85

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.