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Finding the Third Proportional to 93,972 and 137,208

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Solution

The third proportional to 93,972 and 137,208 is: 200,336.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,972 : 137,208 = 137,208 : x
  2. Step 2: Convert to fraction form
    93,972/137,208 = 137,208/x
  3. Step 3: Cross multiply
    93,972x = 137,208 × 137,208
  4. Step 4: Simplify right side
    93,972x = 18,826,035,264
  5. Step 5: Solve for x
    x = 18,826,035,264/93,972
  6. Step 6: Final answer
    x = 200,336.65

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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.