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Finding the Third Proportional to 26,194 and 56,537

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Solution

The third proportional to 26,194 and 56,537 is: 122,029.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,194 : 56,537 = 56,537 : x
  2. Step 2: Convert to fraction form
    26,194/56,537 = 56,537/x
  3. Step 3: Cross multiply
    26,194x = 56,537 × 56,537
  4. Step 4: Simplify right side
    26,194x = 3,196,432,369
  5. Step 5: Solve for x
    x = 3,196,432,369/26,194
  6. Step 6: Final answer
    x = 122,029.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.