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Finding the Third Proportional to 56,238.38 and 122,318.25

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Solution

The third proportional to 56,238.38 and 122,318.25 is: 266,041.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,238.38 : 122,318.25 = 122,318.25 : x
  2. Step 2: Convert to fraction form
    56,238.38/122,318.25 = 122,318.25/x
  3. Step 3: Cross multiply
    56,238.38x = 122,318.25 × 122,318.25
  4. Step 4: Simplify right side
    56,238.38x = 14,961,754,283.06
  5. Step 5: Solve for x
    x = 14,961,754,283.06/56,238.38
  6. Step 6: Final answer
    x = 266,041.72

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.