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Finding the Third Proportional to 123,643.13 and 180,816.75

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Solution

The third proportional to 123,643.13 and 180,816.75 is: 264,427.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,643.13 : 180,816.75 = 180,816.75 : x
  2. Step 2: Convert to fraction form
    123,643.13/180,816.75 = 180,816.75/x
  3. Step 3: Cross multiply
    123,643.13x = 180,816.75 × 180,816.75
  4. Step 4: Simplify right side
    123,643.13x = 32,694,697,080.56
  5. Step 5: Solve for x
    x = 32,694,697,080.56/123,643.13
  6. Step 6: Final answer
    x = 264,427.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.