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Finding the Third Proportional to 58,694 and 122,252

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Solution

The third proportional to 58,694 and 122,252 is: 254,635.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,694 : 122,252 = 122,252 : x
  2. Step 2: Convert to fraction form
    58,694/122,252 = 122,252/x
  3. Step 3: Cross multiply
    58,694x = 122,252 × 122,252
  4. Step 4: Simplify right side
    58,694x = 14,945,551,504
  5. Step 5: Solve for x
    x = 14,945,551,504/58,694
  6. Step 6: Final answer
    x = 254,635.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.