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Finding the Third Proportional to 142,859.75 and 213,588.75

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Solution

The third proportional to 142,859.75 and 213,588.75 is: 319,335.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,859.75 : 213,588.75 = 213,588.75 : x
  2. Step 2: Convert to fraction form
    142,859.75/213,588.75 = 213,588.75/x
  3. Step 3: Cross multiply
    142,859.75x = 213,588.75 × 213,588.75
  4. Step 4: Simplify right side
    142,859.75x = 45,620,154,126.56
  5. Step 5: Solve for x
    x = 45,620,154,126.56/142,859.75
  6. Step 6: Final answer
    x = 319,335.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.