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Finding the Third Proportional to 26,124 and 56,403

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Solution

The third proportional to 26,124 and 56,403 is: 121,776.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,124 : 56,403 = 56,403 : x
  2. Step 2: Convert to fraction form
    26,124/56,403 = 56,403/x
  3. Step 3: Cross multiply
    26,124x = 56,403 × 56,403
  4. Step 4: Simplify right side
    26,124x = 3,181,298,409
  5. Step 5: Solve for x
    x = 3,181,298,409/26,124
  6. Step 6: Final answer
    x = 121,776.85

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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.