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Finding the Third Proportional to 56,130 and 123,972

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Solution

The third proportional to 56,130 and 123,972 is: 273,811.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,130 : 123,972 = 123,972 : x
  2. Step 2: Convert to fraction form
    56,130/123,972 = 123,972/x
  3. Step 3: Cross multiply
    56,130x = 123,972 × 123,972
  4. Step 4: Simplify right side
    56,130x = 15,369,056,784
  5. Step 5: Solve for x
    x = 15,369,056,784/56,130
  6. Step 6: Final answer
    x = 273,811.81

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.