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Finding the Third Proportional to 50,791 and 77,319

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Solution

The third proportional to 50,791 and 77,319 is: 117,702.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,791 : 77,319 = 77,319 : x
  2. Step 2: Convert to fraction form
    50,791/77,319 = 77,319/x
  3. Step 3: Cross multiply
    50,791x = 77,319 × 77,319
  4. Step 4: Simplify right side
    50,791x = 5,978,227,761
  5. Step 5: Solve for x
    x = 5,978,227,761/50,791
  6. Step 6: Final answer
    x = 117,702.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.