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Finding the Third Proportional to 123,009.75 and 264,885.75

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Solution

The third proportional to 123,009.75 and 264,885.75 is: 570,397.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,009.75 : 264,885.75 = 264,885.75 : x
  2. Step 2: Convert to fraction form
    123,009.75/264,885.75 = 264,885.75/x
  3. Step 3: Cross multiply
    123,009.75x = 264,885.75 × 264,885.75
  4. Step 4: Simplify right side
    123,009.75x = 70,164,460,553.06
  5. Step 5: Solve for x
    x = 70,164,460,553.06/123,009.75
  6. Step 6: Final answer
    x = 570,397.55

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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.