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Finding the Third Proportional to 50,496.75 and 106,461

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Solution

The third proportional to 50,496.75 and 106,461 is: 224,448.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,496.75 : 106,461 = 106,461 : x
  2. Step 2: Convert to fraction form
    50,496.75/106,461 = 106,461/x
  3. Step 3: Cross multiply
    50,496.75x = 106,461 × 106,461
  4. Step 4: Simplify right side
    50,496.75x = 11,333,944,521
  5. Step 5: Solve for x
    x = 11,333,944,521/50,496.75
  6. Step 6: Final answer
    x = 224,448.99

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.