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Finding the Third Proportional to 77,722.88 and 118,839.38

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Solution

The third proportional to 77,722.88 and 118,839.38 is: 181,707.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,722.88 : 118,839.38 = 118,839.38 : x
  2. Step 2: Convert to fraction form
    77,722.88/118,839.38 = 118,839.38/x
  3. Step 3: Cross multiply
    77,722.88x = 118,839.38 × 118,839.38
  4. Step 4: Simplify right side
    77,722.88x = 14,122,797,050.39
  5. Step 5: Solve for x
    x = 14,122,797,050.39/77,722.88
  6. Step 6: Final answer
    x = 181,707.08

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.