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Finding the Third Proportional to 75,639.94 and 117,117.56

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Solution

The third proportional to 75,639.94 and 117,117.56 is: 181,339.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,639.94 : 117,117.56 = 117,117.56 : x
  2. Step 2: Convert to fraction form
    75,639.94/117,117.56 = 117,117.56/x
  3. Step 3: Cross multiply
    75,639.94x = 117,117.56 × 117,117.56
  4. Step 4: Simplify right side
    75,639.94x = 13,716,523,445.94
  5. Step 5: Solve for x
    x = 13,716,523,445.94/75,639.94
  6. Step 6: Final answer
    x = 181,339.70

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.