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Finding the Third Proportional to 50,072 and 77,982

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Solution

The third proportional to 50,072 and 77,982 is: 121,448.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,072 : 77,982 = 77,982 : x
  2. Step 2: Convert to fraction form
    50,072/77,982 = 77,982/x
  3. Step 3: Cross multiply
    50,072x = 77,982 × 77,982
  4. Step 4: Simplify right side
    50,072x = 6,081,192,324
  5. Step 5: Solve for x
    x = 6,081,192,324/50,072
  6. Step 6: Final answer
    x = 121,448.96

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.