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Finding the Third Proportional to 93,552.25 and 205,785

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Solution

The third proportional to 93,552.25 and 205,785 is: 452,661.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,552.25 : 205,785 = 205,785 : x
  2. Step 2: Convert to fraction form
    93,552.25/205,785 = 205,785/x
  3. Step 3: Cross multiply
    93,552.25x = 205,785 × 205,785
  4. Step 4: Simplify right side
    93,552.25x = 42,347,466,225
  5. Step 5: Solve for x
    x = 42,347,466,225/93,552.25
  6. Step 6: Final answer
    x = 452,661.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.