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Finding the Third Proportional to 39,734 and 87,054

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Solution

The third proportional to 39,734 and 87,054 is: 190,728.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,734 : 87,054 = 87,054 : x
  2. Step 2: Convert to fraction form
    39,734/87,054 = 87,054/x
  3. Step 3: Cross multiply
    39,734x = 87,054 × 87,054
  4. Step 4: Simplify right side
    39,734x = 7,578,398,916
  5. Step 5: Solve for x
    x = 7,578,398,916/39,734
  6. Step 6: Final answer
    x = 190,728.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.