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Finding the Third Proportional to 69,865.88 and 98,764.31

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Solution

The third proportional to 69,865.88 and 98,764.31 is: 139,615.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,865.88 : 98,764.31 = 98,764.31 : x
  2. Step 2: Convert to fraction form
    69,865.88/98,764.31 = 98,764.31/x
  3. Step 3: Cross multiply
    69,865.88x = 98,764.31 × 98,764.31
  4. Step 4: Simplify right side
    69,865.88x = 9,754,389,423.60
  5. Step 5: Solve for x
    x = 9,754,389,423.60/69,865.88
  6. Step 6: Final answer
    x = 139,615.93

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.