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Finding the Third Proportional to 48,722 and 105,216

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Solution

The third proportional to 48,722 and 105,216 is: 227,215.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,722 : 105,216 = 105,216 : x
  2. Step 2: Convert to fraction form
    48,722/105,216 = 105,216/x
  3. Step 3: Cross multiply
    48,722x = 105,216 × 105,216
  4. Step 4: Simplify right side
    48,722x = 11,070,406,656
  5. Step 5: Solve for x
    x = 11,070,406,656/48,722
  6. Step 6: Final answer
    x = 227,215.77

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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.