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Finding the Third Proportional to 65,917.13 and 136,505.25

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Solution

The third proportional to 65,917.13 and 136,505.25 is: 282,683.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,917.13 : 136,505.25 = 136,505.25 : x
  2. Step 2: Convert to fraction form
    65,917.13/136,505.25 = 136,505.25/x
  3. Step 3: Cross multiply
    65,917.13x = 136,505.25 × 136,505.25
  4. Step 4: Simplify right side
    65,917.13x = 18,633,683,277.56
  5. Step 5: Solve for x
    x = 18,633,683,277.56/65,917.13
  6. Step 6: Final answer
    x = 282,683.50

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.