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Finding the Third Proportional to 123,092 and 265,015

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Solution

The third proportional to 123,092 and 265,015 is: 570,572.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,092 : 265,015 = 265,015 : x
  2. Step 2: Convert to fraction form
    123,092/265,015 = 265,015/x
  3. Step 3: Cross multiply
    123,092x = 265,015 × 265,015
  4. Step 4: Simplify right side
    123,092x = 70,232,950,225
  5. Step 5: Solve for x
    x = 70,232,950,225/123,092
  6. Step 6: Final answer
    x = 570,572.83

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.