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Finding the Third Proportional to 50,083 and 77,995.50

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Solution

The third proportional to 50,083 and 77,995.50 is: 121,464.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,083 : 77,995.50 = 77,995.50 : x
  2. Step 2: Convert to fraction form
    50,083/77,995.50 = 77,995.50/x
  3. Step 3: Cross multiply
    50,083x = 77,995.50 × 77,995.50
  4. Step 4: Simplify right side
    50,083x = 6,083,298,020.25
  5. Step 5: Solve for x
    x = 6,083,298,020.25/50,083
  6. Step 6: Final answer
    x = 121,464.33

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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.