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Finding the Third Proportional to 85,070.25 and 185,721.75

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Solution

The third proportional to 85,070.25 and 185,721.75 is: 405,459.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,070.25 : 185,721.75 = 185,721.75 : x
  2. Step 2: Convert to fraction form
    85,070.25/185,721.75 = 185,721.75/x
  3. Step 3: Cross multiply
    85,070.25x = 185,721.75 × 185,721.75
  4. Step 4: Simplify right side
    85,070.25x = 34,492,568,423.06
  5. Step 5: Solve for x
    x = 34,492,568,423.06/85,070.25
  6. Step 6: Final answer
    x = 405,459.82

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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.