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Finding the Third Proportional to 61,535.81 and 92,201.06

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Solution

The third proportional to 61,535.81 and 92,201.06 is: 138,147.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,535.81 : 92,201.06 = 92,201.06 : x
  2. Step 2: Convert to fraction form
    61,535.81/92,201.06 = 92,201.06/x
  3. Step 3: Cross multiply
    61,535.81x = 92,201.06 × 92,201.06
  4. Step 4: Simplify right side
    61,535.81x = 8,501,035,926.13
  5. Step 5: Solve for x
    x = 8,501,035,926.13/61,535.81
  6. Step 6: Final answer
    x = 138,147.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.