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Finding the Third Proportional to 26,056 and 56,304

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Solution

The third proportional to 26,056 and 56,304 is: 121,666.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,056 : 56,304 = 56,304 : x
  2. Step 2: Convert to fraction form
    26,056/56,304 = 56,304/x
  3. Step 3: Cross multiply
    26,056x = 56,304 × 56,304
  4. Step 4: Simplify right side
    26,056x = 3,170,140,416
  5. Step 5: Solve for x
    x = 3,170,140,416/26,056
  6. Step 6: Final answer
    x = 121,666.43

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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.