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Finding the Third Proportional to 55,952 and 114,489

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Solution

The third proportional to 55,952 and 114,489 is: 234,267.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,952 : 114,489 = 114,489 : x
  2. Step 2: Convert to fraction form
    55,952/114,489 = 114,489/x
  3. Step 3: Cross multiply
    55,952x = 114,489 × 114,489
  4. Step 4: Simplify right side
    55,952x = 13,107,731,121
  5. Step 5: Solve for x
    x = 13,107,731,121/55,952
  6. Step 6: Final answer
    x = 234,267.43

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.