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Finding the Third Proportional to 48,499.50 and 106,017

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Solution

The third proportional to 48,499.50 and 106,017 is: 231,746.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,499.50 : 106,017 = 106,017 : x
  2. Step 2: Convert to fraction form
    48,499.50/106,017 = 106,017/x
  3. Step 3: Cross multiply
    48,499.50x = 106,017 × 106,017
  4. Step 4: Simplify right side
    48,499.50x = 11,239,604,289
  5. Step 5: Solve for x
    x = 11,239,604,289/48,499.50
  6. Step 6: Final answer
    x = 231,746.81

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.