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Finding the Third Proportional to 56,064 and 113,712

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Solution

The third proportional to 56,064 and 113,712 is: 230,636.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,064 : 113,712 = 113,712 : x
  2. Step 2: Convert to fraction form
    56,064/113,712 = 113,712/x
  3. Step 3: Cross multiply
    56,064x = 113,712 × 113,712
  4. Step 4: Simplify right side
    56,064x = 12,930,418,944
  5. Step 5: Solve for x
    x = 12,930,418,944/56,064
  6. Step 6: Final answer
    x = 230,636.75

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.