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Finding the Third Proportional to 119,952.56 and 254,665.13

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Solution

The third proportional to 119,952.56 and 254,665.13 is: 540,666.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,952.56 : 254,665.13 = 254,665.13 : x
  2. Step 2: Convert to fraction form
    119,952.56/254,665.13 = 254,665.13/x
  3. Step 3: Cross multiply
    119,952.56x = 254,665.13 × 254,665.13
  4. Step 4: Simplify right side
    119,952.56x = 64,854,325,891.27
  5. Step 5: Solve for x
    x = 64,854,325,891.27/119,952.56
  6. Step 6: Final answer
    x = 540,666.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.