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Finding the Third Proportional to 73,819 and 114,617

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Solution

The third proportional to 73,819 and 114,617 is: 177,963.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,819 : 114,617 = 114,617 : x
  2. Step 2: Convert to fraction form
    73,819/114,617 = 114,617/x
  3. Step 3: Cross multiply
    73,819x = 114,617 × 114,617
  4. Step 4: Simplify right side
    73,819x = 13,137,056,689
  5. Step 5: Solve for x
    x = 13,137,056,689/73,819
  6. Step 6: Final answer
    x = 177,963.08

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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.