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Finding the Third Proportional to 56,164.13 and 120,225.75

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Solution

The third proportional to 56,164.13 and 120,225.75 is: 257,357.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,164.13 : 120,225.75 = 120,225.75 : x
  2. Step 2: Convert to fraction form
    56,164.13/120,225.75 = 120,225.75/x
  3. Step 3: Cross multiply
    56,164.13x = 120,225.75 × 120,225.75
  4. Step 4: Simplify right side
    56,164.13x = 14,454,230,963.06
  5. Step 5: Solve for x
    x = 14,454,230,963.06/56,164.13
  6. Step 6: Final answer
    x = 257,357.00

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