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Finding the Third Proportional to 59,767.88 and 83,622.38

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Solution

The third proportional to 59,767.88 and 83,622.38 is: 116,997.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,767.88 : 83,622.38 = 83,622.38 : x
  2. Step 2: Convert to fraction form
    59,767.88/83,622.38 = 83,622.38/x
  3. Step 3: Cross multiply
    59,767.88x = 83,622.38 × 83,622.38
  4. Step 4: Simplify right side
    59,767.88x = 6,992,701,600.64
  5. Step 5: Solve for x
    x = 6,992,701,600.64/59,767.88
  6. Step 6: Final answer
    x = 116,997.66

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.