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Finding the Third Proportional to 65,522.25 and 140,383.13

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Solution

The third proportional to 65,522.25 and 140,383.13 is: 300,774.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,522.25 : 140,383.13 = 140,383.13 : x
  2. Step 2: Convert to fraction form
    65,522.25/140,383.13 = 140,383.13/x
  3. Step 3: Cross multiply
    65,522.25x = 140,383.13 × 140,383.13
  4. Step 4: Simplify right side
    65,522.25x = 19,707,421,784.77
  5. Step 5: Solve for x
    x = 19,707,421,784.77/65,522.25
  6. Step 6: Final answer
    x = 300,774.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.