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Finding the Third Proportional to 56,164.38 and 120,226.25

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Solution

The third proportional to 56,164.38 and 120,226.25 is: 257,358.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,164.38 : 120,226.25 = 120,226.25 : x
  2. Step 2: Convert to fraction form
    56,164.38/120,226.25 = 120,226.25/x
  3. Step 3: Cross multiply
    56,164.38x = 120,226.25 × 120,226.25
  4. Step 4: Simplify right side
    56,164.38x = 14,454,351,189.06
  5. Step 5: Solve for x
    x = 14,454,351,189.06/56,164.38
  6. Step 6: Final answer
    x = 257,358.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.