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Finding the Third Proportional to 61,281.56 and 96,293.81

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Solution

The third proportional to 61,281.56 and 96,293.81 is: 151,309.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,281.56 : 96,293.81 = 96,293.81 : x
  2. Step 2: Convert to fraction form
    61,281.56/96,293.81 = 96,293.81/x
  3. Step 3: Cross multiply
    61,281.56x = 96,293.81 × 96,293.81
  4. Step 4: Simplify right side
    61,281.56x = 9,272,498,325.79
  5. Step 5: Solve for x
    x = 9,272,498,325.79/61,281.56
  6. Step 6: Final answer
    x = 151,309.76

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.