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Finding the Third Proportional to 48,103.50 and 105,057

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Solution

The third proportional to 48,103.50 and 105,057 is: 229,442.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,103.50 : 105,057 = 105,057 : x
  2. Step 2: Convert to fraction form
    48,103.50/105,057 = 105,057/x
  3. Step 3: Cross multiply
    48,103.50x = 105,057 × 105,057
  4. Step 4: Simplify right side
    48,103.50x = 11,036,973,249
  5. Step 5: Solve for x
    x = 11,036,973,249/48,103.50
  6. Step 6: Final answer
    x = 229,442.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.