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Finding the Third Proportional to 93,780 and 134,004

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Solution

The third proportional to 93,780 and 134,004 is: 191,480.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,780 : 134,004 = 134,004 : x
  2. Step 2: Convert to fraction form
    93,780/134,004 = 134,004/x
  3. Step 3: Cross multiply
    93,780x = 134,004 × 134,004
  4. Step 4: Simplify right side
    93,780x = 17,957,072,016
  5. Step 5: Solve for x
    x = 17,957,072,016/93,780
  6. Step 6: Final answer
    x = 191,480.83

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.