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Finding the Third Proportional to 75,357 and 110,767.50

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Solution

The third proportional to 75,357 and 110,767.50 is: 162,817.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,357 : 110,767.50 = 110,767.50 : x
  2. Step 2: Convert to fraction form
    75,357/110,767.50 = 110,767.50/x
  3. Step 3: Cross multiply
    75,357x = 110,767.50 × 110,767.50
  4. Step 4: Simplify right side
    75,357x = 12,269,439,056.25
  5. Step 5: Solve for x
    x = 12,269,439,056.25/75,357
  6. Step 6: Final answer
    x = 162,817.51

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.