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Finding the Third Proportional to 65,922.75 and 136,515.75

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Solution

The third proportional to 65,922.75 and 136,515.75 is: 282,702.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,922.75 : 136,515.75 = 136,515.75 : x
  2. Step 2: Convert to fraction form
    65,922.75/136,515.75 = 136,515.75/x
  3. Step 3: Cross multiply
    65,922.75x = 136,515.75 × 136,515.75
  4. Step 4: Simplify right side
    65,922.75x = 18,636,549,998.06
  5. Step 5: Solve for x
    x = 18,636,549,998.06/65,922.75
  6. Step 6: Final answer
    x = 282,702.86

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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.