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Finding the Third Proportional to 50,862 and 77,803

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Solution

The third proportional to 50,862 and 77,803 is: 119,014.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,862 : 77,803 = 77,803 : x
  2. Step 2: Convert to fraction form
    50,862/77,803 = 77,803/x
  3. Step 3: Cross multiply
    50,862x = 77,803 × 77,803
  4. Step 4: Simplify right side
    50,862x = 6,053,306,809
  5. Step 5: Solve for x
    x = 6,053,306,809/50,862
  6. Step 6: Final answer
    x = 119,014.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.