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Finding the Third Proportional to 85,104 and 185,133

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Solution

The third proportional to 85,104 and 185,133 is: 402,733.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,104 : 185,133 = 185,133 : x
  2. Step 2: Convert to fraction form
    85,104/185,133 = 185,133/x
  3. Step 3: Cross multiply
    85,104x = 185,133 × 185,133
  4. Step 4: Simplify right side
    85,104x = 34,274,227,689
  5. Step 5: Solve for x
    x = 34,274,227,689/85,104
  6. Step 6: Final answer
    x = 402,733.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.