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Finding the Third Proportional to 61,283.25 and 96,298.88

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Solution

The third proportional to 61,283.25 and 96,298.88 is: 151,321.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,283.25 : 96,298.88 = 96,298.88 : x
  2. Step 2: Convert to fraction form
    61,283.25/96,298.88 = 96,298.88/x
  3. Step 3: Cross multiply
    61,283.25x = 96,298.88 × 96,298.88
  4. Step 4: Simplify right side
    61,283.25x = 9,273,473,326.27
  5. Step 5: Solve for x
    x = 9,273,473,326.27/61,283.25
  6. Step 6: Final answer
    x = 151,321.50

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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.