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Finding the Third Proportional to 50,996.25 and 84,278.25

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Solution

The third proportional to 50,996.25 and 84,278.25 is: 139,281.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,996.25 : 84,278.25 = 84,278.25 : x
  2. Step 2: Convert to fraction form
    50,996.25/84,278.25 = 84,278.25/x
  3. Step 3: Cross multiply
    50,996.25x = 84,278.25 × 84,278.25
  4. Step 4: Simplify right side
    50,996.25x = 7,102,823,423.06
  5. Step 5: Solve for x
    x = 7,102,823,423.06/50,996.25
  6. Step 6: Final answer
    x = 139,281.29

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.