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Finding the Third Proportional to 50,168.58 and 77,501.81

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Solution

The third proportional to 50,168.58 and 77,501.81 is: 119,726.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,168.58 : 77,501.81 = 77,501.81 : x
  2. Step 2: Convert to fraction form
    50,168.58/77,501.81 = 77,501.81/x
  3. Step 3: Cross multiply
    50,168.58x = 77,501.81 × 77,501.81
  4. Step 4: Simplify right side
    50,168.58x = 6,006,530,940.79
  5. Step 5: Solve for x
    x = 6,006,530,940.79/50,168.58
  6. Step 6: Final answer
    x = 119,726.94

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.