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Finding the Third Proportional to 45,762 and 106,908

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Solution

The third proportional to 45,762 and 106,908 is: 249,755.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,762 : 106,908 = 106,908 : x
  2. Step 2: Convert to fraction form
    45,762/106,908 = 106,908/x
  3. Step 3: Cross multiply
    45,762x = 106,908 × 106,908
  4. Step 4: Simplify right side
    45,762x = 11,429,320,464
  5. Step 5: Solve for x
    x = 11,429,320,464/45,762
  6. Step 6: Final answer
    x = 249,755.70

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.