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Finding the Third Proportional to 85,110 and 128,031.75

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Solution

The third proportional to 85,110 and 128,031.75 is: 192,599.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,110 : 128,031.75 = 128,031.75 : x
  2. Step 2: Convert to fraction form
    85,110/128,031.75 = 128,031.75/x
  3. Step 3: Cross multiply
    85,110x = 128,031.75 × 128,031.75
  4. Step 4: Simplify right side
    85,110x = 16,392,129,008.06
  5. Step 5: Solve for x
    x = 16,392,129,008.06/85,110
  6. Step 6: Final answer
    x = 192,599.33

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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.