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Finding the Third Proportional to 58,475 and 123,063

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Solution

The third proportional to 58,475 and 123,063 is: 258,991.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,475 : 123,063 = 123,063 : x
  2. Step 2: Convert to fraction form
    58,475/123,063 = 123,063/x
  3. Step 3: Cross multiply
    58,475x = 123,063 × 123,063
  4. Step 4: Simplify right side
    58,475x = 15,144,501,969
  5. Step 5: Solve for x
    x = 15,144,501,969/58,475
  6. Step 6: Final answer
    x = 258,991.06

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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.