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Finding the Third Proportional to 76,498.17 and 107,536.99

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Solution

The third proportional to 76,498.17 and 107,536.99 is: 151,169.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,498.17 : 107,536.99 = 107,536.99 : x
  2. Step 2: Convert to fraction form
    76,498.17/107,536.99 = 107,536.99/x
  3. Step 3: Cross multiply
    76,498.17x = 107,536.99 × 107,536.99
  4. Step 4: Simplify right side
    76,498.17x = 11,564,204,688.73
  5. Step 5: Solve for x
    x = 11,564,204,688.73/76,498.17
  6. Step 6: Final answer
    x = 151,169.69

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.