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Finding the Third Proportional to 48,924 and 105,948

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Solution

The third proportional to 48,924 and 105,948 is: 229,437.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,924 : 105,948 = 105,948 : x
  2. Step 2: Convert to fraction form
    48,924/105,948 = 105,948/x
  3. Step 3: Cross multiply
    48,924x = 105,948 × 105,948
  4. Step 4: Simplify right side
    48,924x = 11,224,978,704
  5. Step 5: Solve for x
    x = 11,224,978,704/48,924
  6. Step 6: Final answer
    x = 229,437.06

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.