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Finding the Third Proportional to 61,777.69 and 92,422.69

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Solution

The third proportional to 61,777.69 and 92,422.69 is: 138,269.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,777.69 : 92,422.69 = 92,422.69 : x
  2. Step 2: Convert to fraction form
    61,777.69/92,422.69 = 92,422.69/x
  3. Step 3: Cross multiply
    61,777.69x = 92,422.69 × 92,422.69
  4. Step 4: Simplify right side
    61,777.69x = 8,541,953,164.72
  5. Step 5: Solve for x
    x = 8,541,953,164.72/61,777.69
  6. Step 6: Final answer
    x = 138,269.23

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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.