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Finding the Third Proportional to 56,142 and 84,794

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Solution

The third proportional to 56,142 and 84,794 is: 128,068.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,142 : 84,794 = 84,794 : x
  2. Step 2: Convert to fraction form
    56,142/84,794 = 84,794/x
  3. Step 3: Cross multiply
    56,142x = 84,794 × 84,794
  4. Step 4: Simplify right side
    56,142x = 7,190,022,436
  5. Step 5: Solve for x
    x = 7,190,022,436/56,142
  6. Step 6: Final answer
    x = 128,068.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.