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Finding the Third Proportional to 62,694.94 and 97,186.31

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Solution

The third proportional to 62,694.94 and 97,186.31 is: 150,652.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,694.94 : 97,186.31 = 97,186.31 : x
  2. Step 2: Convert to fraction form
    62,694.94/97,186.31 = 97,186.31/x
  3. Step 3: Cross multiply
    62,694.94x = 97,186.31 × 97,186.31
  4. Step 4: Simplify right side
    62,694.94x = 9,445,179,337.35
  5. Step 5: Solve for x
    x = 9,445,179,337.35/62,694.94
  6. Step 6: Final answer
    x = 150,652.98

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.