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Finding the Third Proportional to 68,356.88 and 107,015.63

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Solution

The third proportional to 68,356.88 and 107,015.63 is: 167,537.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,356.88 : 107,015.63 = 107,015.63 : x
  2. Step 2: Convert to fraction form
    68,356.88/107,015.63 = 107,015.63/x
  3. Step 3: Cross multiply
    68,356.88x = 107,015.63 × 107,015.63
  4. Step 4: Simplify right side
    68,356.88x = 11,452,343,994.14
  5. Step 5: Solve for x
    x = 11,452,343,994.14/68,356.88
  6. Step 6: Final answer
    x = 167,537.56

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.