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Finding the Third Proportional to 68,013 and 105,052.50

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Solution

The third proportional to 68,013 and 105,052.50 is: 162,263.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,013 : 105,052.50 = 105,052.50 : x
  2. Step 2: Convert to fraction form
    68,013/105,052.50 = 105,052.50/x
  3. Step 3: Cross multiply
    68,013x = 105,052.50 × 105,052.50
  4. Step 4: Simplify right side
    68,013x = 11,036,027,756.25
  5. Step 5: Solve for x
    x = 11,036,027,756.25/68,013
  6. Step 6: Final answer
    x = 162,263.50

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