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Finding the Third Proportional to 48,216 and 70,848

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Solution

The third proportional to 48,216 and 70,848 is: 104,103.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,216 : 70,848 = 70,848 : x
  2. Step 2: Convert to fraction form
    48,216/70,848 = 70,848/x
  3. Step 3: Cross multiply
    48,216x = 70,848 × 70,848
  4. Step 4: Simplify right side
    48,216x = 5,019,439,104
  5. Step 5: Solve for x
    x = 5,019,439,104/48,216
  6. Step 6: Final answer
    x = 104,103.18

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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.