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Finding the Third Proportional to 56,191 and 123,681

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Solution

The third proportional to 56,191 and 123,681 is: 272,232.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,191 : 123,681 = 123,681 : x
  2. Step 2: Convert to fraction form
    56,191/123,681 = 123,681/x
  3. Step 3: Cross multiply
    56,191x = 123,681 × 123,681
  4. Step 4: Simplify right side
    56,191x = 15,296,989,761
  5. Step 5: Solve for x
    x = 15,296,989,761/56,191
  6. Step 6: Final answer
    x = 272,232.03

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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.