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Finding the Third Proportional to 93,634 and 136,947

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Solution

The third proportional to 93,634 and 136,947 is: 200,295.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,634 : 136,947 = 136,947 : x
  2. Step 2: Convert to fraction form
    93,634/136,947 = 136,947/x
  3. Step 3: Cross multiply
    93,634x = 136,947 × 136,947
  4. Step 4: Simplify right side
    93,634x = 18,754,480,809
  5. Step 5: Solve for x
    x = 18,754,480,809/93,634
  6. Step 6: Final answer
    x = 200,295.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.