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Finding the Third Proportional to 39,256 and 84,770

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Solution

The third proportional to 39,256 and 84,770 is: 183,053.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,256 : 84,770 = 84,770 : x
  2. Step 2: Convert to fraction form
    39,256/84,770 = 84,770/x
  3. Step 3: Cross multiply
    39,256x = 84,770 × 84,770
  4. Step 4: Simplify right side
    39,256x = 7,185,952,900
  5. Step 5: Solve for x
    x = 7,185,952,900/39,256
  6. Step 6: Final answer
    x = 183,053.62

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.