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Finding the Third Proportional to 58,754 and 123,252

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Solution

The third proportional to 58,754 and 123,252 is: 258,553.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,754 : 123,252 = 123,252 : x
  2. Step 2: Convert to fraction form
    58,754/123,252 = 123,252/x
  3. Step 3: Cross multiply
    58,754x = 123,252 × 123,252
  4. Step 4: Simplify right side
    58,754x = 15,191,055,504
  5. Step 5: Solve for x
    x = 15,191,055,504/58,754
  6. Step 6: Final answer
    x = 258,553.55

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.