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Finding the Third Proportional to 58,008 and 123,606

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Solution

The third proportional to 58,008 and 123,606 is: 263,385.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,008 : 123,606 = 123,606 : x
  2. Step 2: Convert to fraction form
    58,008/123,606 = 123,606/x
  3. Step 3: Cross multiply
    58,008x = 123,606 × 123,606
  4. Step 4: Simplify right side
    58,008x = 15,278,443,236
  5. Step 5: Solve for x
    x = 15,278,443,236/58,008
  6. Step 6: Final answer
    x = 263,385.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.