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Finding the Third Proportional to 85,953.75 and 185,734

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Solution

The third proportional to 85,953.75 and 185,734 is: 401,345.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,953.75 : 185,734 = 185,734 : x
  2. Step 2: Convert to fraction form
    85,953.75/185,734 = 185,734/x
  3. Step 3: Cross multiply
    85,953.75x = 185,734 × 185,734
  4. Step 4: Simplify right side
    85,953.75x = 34,497,118,756
  5. Step 5: Solve for x
    x = 34,497,118,756/85,953.75
  6. Step 6: Final answer
    x = 401,345.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.