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Finding the Third Proportional to 61,096.50 and 92,035.69

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Solution

The third proportional to 61,096.50 and 92,035.69 is: 138,642.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,096.50 : 92,035.69 = 92,035.69 : x
  2. Step 2: Convert to fraction form
    61,096.50/92,035.69 = 92,035.69/x
  3. Step 3: Cross multiply
    61,096.50x = 92,035.69 × 92,035.69
  4. Step 4: Simplify right side
    61,096.50x = 8,470,567,773.60
  5. Step 5: Solve for x
    x = 8,470,567,773.60/61,096.50
  6. Step 6: Final answer
    x = 138,642.44

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.