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Finding the Third Proportional to 65,993.63 and 89,663.63

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Solution

The third proportional to 65,993.63 and 89,663.63 is: 121,823.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,993.63 : 89,663.63 = 89,663.63 : x
  2. Step 2: Convert to fraction form
    65,993.63/89,663.63 = 89,663.63/x
  3. Step 3: Cross multiply
    65,993.63x = 89,663.63 × 89,663.63
  4. Step 4: Simplify right side
    65,993.63x = 8,039,565,648.14
  5. Step 5: Solve for x
    x = 8,039,565,648.14/65,993.63
  6. Step 6: Final answer
    x = 121,823.37

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.