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Finding the Third Proportional to 68,237.50 and 121,708.50

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Solution

The third proportional to 68,237.50 and 121,708.50 is: 217,079.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,237.50 : 121,708.50 = 121,708.50 : x
  2. Step 2: Convert to fraction form
    68,237.50/121,708.50 = 121,708.50/x
  3. Step 3: Cross multiply
    68,237.50x = 121,708.50 × 121,708.50
  4. Step 4: Simplify right side
    68,237.50x = 14,812,958,972.25
  5. Step 5: Solve for x
    x = 14,812,958,972.25/68,237.50
  6. Step 6: Final answer
    x = 217,079.45

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.