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Finding the Third Proportional to 65,792.25 and 139,056.75

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Solution

The third proportional to 65,792.25 and 139,056.75 is: 293,906.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,792.25 : 139,056.75 = 139,056.75 : x
  2. Step 2: Convert to fraction form
    65,792.25/139,056.75 = 139,056.75/x
  3. Step 3: Cross multiply
    65,792.25x = 139,056.75 × 139,056.75
  4. Step 4: Simplify right side
    65,792.25x = 19,336,779,720.56
  5. Step 5: Solve for x
    x = 19,336,779,720.56/65,792.25
  6. Step 6: Final answer
    x = 293,906.65

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.