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Finding the Third Proportional to 56,064 and 123,180

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Solution

The third proportional to 56,064 and 123,180 is: 270,642.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,064 : 123,180 = 123,180 : x
  2. Step 2: Convert to fraction form
    56,064/123,180 = 123,180/x
  3. Step 3: Cross multiply
    56,064x = 123,180 × 123,180
  4. Step 4: Simplify right side
    56,064x = 15,173,312,400
  5. Step 5: Solve for x
    x = 15,173,312,400/56,064
  6. Step 6: Final answer
    x = 270,642.70

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.