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Finding the Third Proportional to 75,502.75 and 110,715.88

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Solution

The third proportional to 75,502.75 and 110,715.88 is: 162,351.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,502.75 : 110,715.88 = 110,715.88 : x
  2. Step 2: Convert to fraction form
    75,502.75/110,715.88 = 110,715.88/x
  3. Step 3: Cross multiply
    75,502.75x = 110,715.88 × 110,715.88
  4. Step 4: Simplify right side
    75,502.75x = 12,258,004,977.02
  5. Step 5: Solve for x
    x = 12,258,004,977.02/75,502.75
  6. Step 6: Final answer
    x = 162,351.77

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.