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Finding the Third Proportional to 48,750 and 105,272

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Solution

The third proportional to 48,750 and 105,272 is: 227,327.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,750 : 105,272 = 105,272 : x
  2. Step 2: Convert to fraction form
    48,750/105,272 = 105,272/x
  3. Step 3: Cross multiply
    48,750x = 105,272 × 105,272
  4. Step 4: Simplify right side
    48,750x = 11,082,193,984
  5. Step 5: Solve for x
    x = 11,082,193,984/48,750
  6. Step 6: Final answer
    x = 227,327.06

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.