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Finding the Third Proportional to 65,502.50 and 140,351

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Solution

The third proportional to 65,502.50 and 140,351 is: 300,727.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,502.50 : 140,351 = 140,351 : x
  2. Step 2: Convert to fraction form
    65,502.50/140,351 = 140,351/x
  3. Step 3: Cross multiply
    65,502.50x = 140,351 × 140,351
  4. Step 4: Simplify right side
    65,502.50x = 19,698,403,201
  5. Step 5: Solve for x
    x = 19,698,403,201/65,502.50
  6. Step 6: Final answer
    x = 300,727.50

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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.