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Finding the Third Proportional to 65,520 and 140,388.75

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Solution

The third proportional to 65,520 and 140,388.75 is: 300,808.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,520 : 140,388.75 = 140,388.75 : x
  2. Step 2: Convert to fraction form
    65,520/140,388.75 = 140,388.75/x
  3. Step 3: Cross multiply
    65,520x = 140,388.75 × 140,388.75
  4. Step 4: Simplify right side
    65,520x = 19,709,001,126.56
  5. Step 5: Solve for x
    x = 19,709,001,126.56/65,520
  6. Step 6: Final answer
    x = 300,808.93

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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.