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Finding the Third Proportional to 48,731 and 106,769

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Solution

The third proportional to 48,731 and 106,769 is: 233,929.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,731 : 106,769 = 106,769 : x
  2. Step 2: Convert to fraction form
    48,731/106,769 = 106,769/x
  3. Step 3: Cross multiply
    48,731x = 106,769 × 106,769
  4. Step 4: Simplify right side
    48,731x = 11,399,619,361
  5. Step 5: Solve for x
    x = 11,399,619,361/48,731
  6. Step 6: Final answer
    x = 233,929.52

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Why These Related Problems?

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