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Finding the Third Proportional to 49,521 and 106,933

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Solution

The third proportional to 49,521 and 106,933 is: 230,905.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,521 : 106,933 = 106,933 : x
  2. Step 2: Convert to fraction form
    49,521/106,933 = 106,933/x
  3. Step 3: Cross multiply
    49,521x = 106,933 × 106,933
  4. Step 4: Simplify right side
    49,521x = 11,434,666,489
  5. Step 5: Solve for x
    x = 11,434,666,489/49,521
  6. Step 6: Final answer
    x = 230,905.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.