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Finding the Third Proportional to 50,073 and 77,983.50

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Solution

The third proportional to 50,073 and 77,983.50 is: 121,451.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,073 : 77,983.50 = 77,983.50 : x
  2. Step 2: Convert to fraction form
    50,073/77,983.50 = 77,983.50/x
  3. Step 3: Cross multiply
    50,073x = 77,983.50 × 77,983.50
  4. Step 4: Simplify right side
    50,073x = 6,081,426,272.25
  5. Step 5: Solve for x
    x = 6,081,426,272.25/50,073
  6. Step 6: Final answer
    x = 121,451.21

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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.