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Finding the Third Proportional to 93,974 and 145,736

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Solution

The third proportional to 93,974 and 145,736 is: 226,009.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,974 : 145,736 = 145,736 : x
  2. Step 2: Convert to fraction form
    93,974/145,736 = 145,736/x
  3. Step 3: Cross multiply
    93,974x = 145,736 × 145,736
  4. Step 4: Simplify right side
    93,974x = 21,238,981,696
  5. Step 5: Solve for x
    x = 21,238,981,696/93,974
  6. Step 6: Final answer
    x = 226,009.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.