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Finding the Third Proportional to 50,196.75 and 77,724.75

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Solution

The third proportional to 50,196.75 and 77,724.75 is: 120,349.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,196.75 : 77,724.75 = 77,724.75 : x
  2. Step 2: Convert to fraction form
    50,196.75/77,724.75 = 77,724.75/x
  3. Step 3: Cross multiply
    50,196.75x = 77,724.75 × 77,724.75
  4. Step 4: Simplify right side
    50,196.75x = 6,041,136,762.56
  5. Step 5: Solve for x
    x = 6,041,136,762.56/50,196.75
  6. Step 6: Final answer
    x = 120,349.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.