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Finding the Third Proportional to 68,627 and 105,617

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Solution

The third proportional to 68,627 and 105,617 is: 162,544.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,627 : 105,617 = 105,617 : x
  2. Step 2: Convert to fraction form
    68,627/105,617 = 105,617/x
  3. Step 3: Cross multiply
    68,627x = 105,617 × 105,617
  4. Step 4: Simplify right side
    68,627x = 11,154,950,689
  5. Step 5: Solve for x
    x = 11,154,950,689/68,627
  6. Step 6: Final answer
    x = 162,544.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.