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Finding the Third Proportional to 26,135 and 56,461

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Solution

The third proportional to 26,135 and 56,461 is: 121,976.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,135 : 56,461 = 56,461 : x
  2. Step 2: Convert to fraction form
    26,135/56,461 = 56,461/x
  3. Step 3: Cross multiply
    26,135x = 56,461 × 56,461
  4. Step 4: Simplify right side
    26,135x = 3,187,844,521
  5. Step 5: Solve for x
    x = 3,187,844,521/26,135
  6. Step 6: Final answer
    x = 121,976.07

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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.