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Finding the Third Proportional to 58,012 and 123,614

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Solution

The third proportional to 58,012 and 123,614 is: 263,401.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,012 : 123,614 = 123,614 : x
  2. Step 2: Convert to fraction form
    58,012/123,614 = 123,614/x
  3. Step 3: Cross multiply
    58,012x = 123,614 × 123,614
  4. Step 4: Simplify right side
    58,012x = 15,280,420,996
  5. Step 5: Solve for x
    x = 15,280,420,996/58,012
  6. Step 6: Final answer
    x = 263,401.04

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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.