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Finding the Third Proportional to 53,296 and 108,428

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Solution

The third proportional to 53,296 and 108,428 is: 220,591.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,296 : 108,428 = 108,428 : x
  2. Step 2: Convert to fraction form
    53,296/108,428 = 108,428/x
  3. Step 3: Cross multiply
    53,296x = 108,428 × 108,428
  4. Step 4: Simplify right side
    53,296x = 11,756,631,184
  5. Step 5: Solve for x
    x = 11,756,631,184/53,296
  6. Step 6: Final answer
    x = 220,591.25

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.