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Finding the Third Proportional to 93,603 and 191,580

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Solution

The third proportional to 93,603 and 191,580 is: 392,112.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,603 : 191,580 = 191,580 : x
  2. Step 2: Convert to fraction form
    93,603/191,580 = 191,580/x
  3. Step 3: Cross multiply
    93,603x = 191,580 × 191,580
  4. Step 4: Simplify right side
    93,603x = 36,702,896,400
  5. Step 5: Solve for x
    x = 36,702,896,400/93,603
  6. Step 6: Final answer
    x = 392,112.39

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.