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Finding the Third Proportional to 50,091 and 77,025

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Solution

The third proportional to 50,091 and 77,025 is: 118,441.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,091 : 77,025 = 77,025 : x
  2. Step 2: Convert to fraction form
    50,091/77,025 = 77,025/x
  3. Step 3: Cross multiply
    50,091x = 77,025 × 77,025
  4. Step 4: Simplify right side
    50,091x = 5,932,850,625
  5. Step 5: Solve for x
    x = 5,932,850,625/50,091
  6. Step 6: Final answer
    x = 118,441.45

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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.