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Finding the Third Proportional to 73,617 and 116,754

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Solution

The third proportional to 73,617 and 116,754 is: 185,167.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,617 : 116,754 = 116,754 : x
  2. Step 2: Convert to fraction form
    73,617/116,754 = 116,754/x
  3. Step 3: Cross multiply
    73,617x = 116,754 × 116,754
  4. Step 4: Simplify right side
    73,617x = 13,631,496,516
  5. Step 5: Solve for x
    x = 13,631,496,516/73,617
  6. Step 6: Final answer
    x = 185,167.78

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.