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Finding the Third Proportional to 50,502 and 109,740

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Solution

The third proportional to 50,502 and 109,740 is: 238,463.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,502 : 109,740 = 109,740 : x
  2. Step 2: Convert to fraction form
    50,502/109,740 = 109,740/x
  3. Step 3: Cross multiply
    50,502x = 109,740 × 109,740
  4. Step 4: Simplify right side
    50,502x = 12,042,867,600
  5. Step 5: Solve for x
    x = 12,042,867,600/50,502
  6. Step 6: Final answer
    x = 238,463.18

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Why These Related Problems?

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