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Finding the Third Proportional to 67,694.50 and 105,242.50

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Solution

The third proportional to 67,694.50 and 105,242.50 is: 163,617.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,694.50 : 105,242.50 = 105,242.50 : x
  2. Step 2: Convert to fraction form
    67,694.50/105,242.50 = 105,242.50/x
  3. Step 3: Cross multiply
    67,694.50x = 105,242.50 × 105,242.50
  4. Step 4: Simplify right side
    67,694.50x = 11,075,983,806.25
  5. Step 5: Solve for x
    x = 11,075,983,806.25/67,694.50
  6. Step 6: Final answer
    x = 163,617.19

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