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Finding the Third Proportional to 69,870.94 and 98,771.91

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Solution

The third proportional to 69,870.94 and 98,771.91 is: 139,627.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,870.94 : 98,771.91 = 98,771.91 : x
  2. Step 2: Convert to fraction form
    69,870.94/98,771.91 = 98,771.91/x
  3. Step 3: Cross multiply
    69,870.94x = 98,771.91 × 98,771.91
  4. Step 4: Simplify right side
    69,870.94x = 9,755,889,464.26
  5. Step 5: Solve for x
    x = 9,755,889,464.26/69,870.94
  6. Step 6: Final answer
    x = 139,627.29

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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.