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Finding the Third Proportional to 68,546.25 and 105,927.75

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Solution

The third proportional to 68,546.25 and 105,927.75 is: 163,695.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,546.25 : 105,927.75 = 105,927.75 : x
  2. Step 2: Convert to fraction form
    68,546.25/105,927.75 = 105,927.75/x
  3. Step 3: Cross multiply
    68,546.25x = 105,927.75 × 105,927.75
  4. Step 4: Simplify right side
    68,546.25x = 11,220,688,220.06
  5. Step 5: Solve for x
    x = 11,220,688,220.06/68,546.25
  6. Step 6: Final answer
    x = 163,695.14

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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.