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Finding the Third Proportional to 86,854 and 137,642

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Solution

The third proportional to 86,854 and 137,642 is: 218,128.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,854 : 137,642 = 137,642 : x
  2. Step 2: Convert to fraction form
    86,854/137,642 = 137,642/x
  3. Step 3: Cross multiply
    86,854x = 137,642 × 137,642
  4. Step 4: Simplify right side
    86,854x = 18,945,320,164
  5. Step 5: Solve for x
    x = 18,945,320,164/86,854
  6. Step 6: Final answer
    x = 218,128.36

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.