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Finding the Third Proportional to 107,750 and 161,772

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Solution

The third proportional to 107,750 and 161,772 is: 242,878.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,750 : 161,772 = 161,772 : x
  2. Step 2: Convert to fraction form
    107,750/161,772 = 161,772/x
  3. Step 3: Cross multiply
    107,750x = 161,772 × 161,772
  4. Step 4: Simplify right side
    107,750x = 26,170,179,984
  5. Step 5: Solve for x
    x = 26,170,179,984/107,750
  6. Step 6: Final answer
    x = 242,878.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.