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Finding the Third Proportional to 65,772 and 99,098.44

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Solution

The third proportional to 65,772 and 99,098.44 is: 149,311.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,772 : 99,098.44 = 99,098.44 : x
  2. Step 2: Convert to fraction form
    65,772/99,098.44 = 99,098.44/x
  3. Step 3: Cross multiply
    65,772x = 99,098.44 × 99,098.44
  4. Step 4: Simplify right side
    65,772x = 9,820,500,314.94
  5. Step 5: Solve for x
    x = 9,820,500,314.94/65,772
  6. Step 6: Final answer
    x = 149,311.26

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Why These Related Problems?

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