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Finding the Third Proportional to 93,548 and 205,204

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Solution

The third proportional to 93,548 and 205,204 is: 450,129.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,548 : 205,204 = 205,204 : x
  2. Step 2: Convert to fraction form
    93,548/205,204 = 205,204/x
  3. Step 3: Cross multiply
    93,548x = 205,204 × 205,204
  4. Step 4: Simplify right side
    93,548x = 42,108,681,616
  5. Step 5: Solve for x
    x = 42,108,681,616/93,548
  6. Step 6: Final answer
    x = 450,129.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.