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Finding the Third Proportional to 46,186 and 71,653

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Solution

The third proportional to 46,186 and 71,653 is: 111,162.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,186 : 71,653 = 71,653 : x
  2. Step 2: Convert to fraction form
    46,186/71,653 = 71,653/x
  3. Step 3: Cross multiply
    46,186x = 71,653 × 71,653
  4. Step 4: Simplify right side
    46,186x = 5,134,152,409
  5. Step 5: Solve for x
    x = 5,134,152,409/46,186
  6. Step 6: Final answer
    x = 111,162.53

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Why These Related Problems?

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