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Finding the Third Proportional to 61,735.13 and 92,196.38

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Solution

The third proportional to 61,735.13 and 92,196.38 is: 137,687.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,735.13 : 92,196.38 = 92,196.38 : x
  2. Step 2: Convert to fraction form
    61,735.13/92,196.38 = 92,196.38/x
  3. Step 3: Cross multiply
    61,735.13x = 92,196.38 × 92,196.38
  4. Step 4: Simplify right side
    61,735.13x = 8,500,171,563.14
  5. Step 5: Solve for x
    x = 8,500,171,563.14/61,735.13
  6. Step 6: Final answer
    x = 137,687.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.