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Finding the Third Proportional to 26,090 and 56,959

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Solution

The third proportional to 26,090 and 56,959 is: 124,351.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,090 : 56,959 = 56,959 : x
  2. Step 2: Convert to fraction form
    26,090/56,959 = 56,959/x
  3. Step 3: Cross multiply
    26,090x = 56,959 × 56,959
  4. Step 4: Simplify right side
    26,090x = 3,244,327,681
  5. Step 5: Solve for x
    x = 3,244,327,681/26,090
  6. Step 6: Final answer
    x = 124,351.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.