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Finding the Third Proportional to 73,935 and 113,644.50

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Solution

The third proportional to 73,935 and 113,644.50 is: 174,681.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,935 : 113,644.50 = 113,644.50 : x
  2. Step 2: Convert to fraction form
    73,935/113,644.50 = 113,644.50/x
  3. Step 3: Cross multiply
    73,935x = 113,644.50 × 113,644.50
  4. Step 4: Simplify right side
    73,935x = 12,915,072,380.25
  5. Step 5: Solve for x
    x = 12,915,072,380.25/73,935
  6. Step 6: Final answer
    x = 174,681.44

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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.