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Finding the Third Proportional to 53,776 and 109,883

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Solution

The third proportional to 53,776 and 109,883 is: 224,529.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,776 : 109,883 = 109,883 : x
  2. Step 2: Convert to fraction form
    53,776/109,883 = 109,883/x
  3. Step 3: Cross multiply
    53,776x = 109,883 × 109,883
  4. Step 4: Simplify right side
    53,776x = 12,074,273,689
  5. Step 5: Solve for x
    x = 12,074,273,689/53,776
  6. Step 6: Final answer
    x = 224,529.04

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.