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Finding the Third Proportional to 123,162.75 and 265,551.75

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Solution

The third proportional to 123,162.75 and 265,551.75 is: 572,557.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,162.75 : 265,551.75 = 265,551.75 : x
  2. Step 2: Convert to fraction form
    123,162.75/265,551.75 = 265,551.75/x
  3. Step 3: Cross multiply
    123,162.75x = 265,551.75 × 265,551.75
  4. Step 4: Simplify right side
    123,162.75x = 70,517,731,928.06
  5. Step 5: Solve for x
    x = 70,517,731,928.06/123,162.75
  6. Step 6: Final answer
    x = 572,557.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.