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Finding the Third Proportional to 73,618.88 and 97,716.38

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Solution

The third proportional to 73,618.88 and 97,716.38 is: 129,701.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,618.88 : 97,716.38 = 97,716.38 : x
  2. Step 2: Convert to fraction form
    73,618.88/97,716.38 = 97,716.38/x
  3. Step 3: Cross multiply
    73,618.88x = 97,716.38 × 97,716.38
  4. Step 4: Simplify right side
    73,618.88x = 9,548,489,943.14
  5. Step 5: Solve for x
    x = 9,548,489,943.14/73,618.88
  6. Step 6: Final answer
    x = 129,701.66

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.