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Finding the Third Proportional to 57,553 and 119,102

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Solution

The third proportional to 57,553 and 119,102 is: 246,473.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,553 : 119,102 = 119,102 : x
  2. Step 2: Convert to fraction form
    57,553/119,102 = 119,102/x
  3. Step 3: Cross multiply
    57,553x = 119,102 × 119,102
  4. Step 4: Simplify right side
    57,553x = 14,185,286,404
  5. Step 5: Solve for x
    x = 14,185,286,404/57,553
  6. Step 6: Final answer
    x = 246,473.45

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.