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Finding the Third Proportional to 85,713.19 and 185,727.94

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Solution

The third proportional to 85,713.19 and 185,727.94 is: 402,445.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,713.19 : 185,727.94 = 185,727.94 : x
  2. Step 2: Convert to fraction form
    85,713.19/185,727.94 = 185,727.94/x
  3. Step 3: Cross multiply
    85,713.19x = 185,727.94 × 185,727.94
  4. Step 4: Simplify right side
    85,713.19x = 34,494,866,768.00
  5. Step 5: Solve for x
    x = 34,494,866,768.00/85,713.19
  6. Step 6: Final answer
    x = 402,445.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.