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Finding the Third Proportional to 77,349.94 and 123,077.81

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Solution

The third proportional to 77,349.94 and 123,077.81 is: 195,839.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,349.94 : 123,077.81 = 123,077.81 : x
  2. Step 2: Convert to fraction form
    77,349.94/123,077.81 = 123,077.81/x
  3. Step 3: Cross multiply
    77,349.94x = 123,077.81 × 123,077.81
  4. Step 4: Simplify right side
    77,349.94x = 15,148,147,929.79
  5. Step 5: Solve for x
    x = 15,148,147,929.79/77,349.94
  6. Step 6: Final answer
    x = 195,839.17

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.