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Finding the Third Proportional to 67,617 and 105,111

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Solution

The third proportional to 67,617 and 105,111 is: 163,395.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,617 : 105,111 = 105,111 : x
  2. Step 2: Convert to fraction form
    67,617/105,111 = 105,111/x
  3. Step 3: Cross multiply
    67,617x = 105,111 × 105,111
  4. Step 4: Simplify right side
    67,617x = 11,048,322,321
  5. Step 5: Solve for x
    x = 11,048,322,321/67,617
  6. Step 6: Final answer
    x = 163,395.63

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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.