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Finding the Third Proportional to 93,666 and 178,692

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Solution

The third proportional to 93,666 and 178,692 is: 340,900.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,666 : 178,692 = 178,692 : x
  2. Step 2: Convert to fraction form
    93,666/178,692 = 178,692/x
  3. Step 3: Cross multiply
    93,666x = 178,692 × 178,692
  4. Step 4: Simplify right side
    93,666x = 31,930,830,864
  5. Step 5: Solve for x
    x = 31,930,830,864/93,666
  6. Step 6: Final answer
    x = 340,900.98

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.