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Finding the Third Proportional to 66,692 and 103,234

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Solution

The third proportional to 66,692 and 103,234 is: 159,798.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,692 : 103,234 = 103,234 : x
  2. Step 2: Convert to fraction form
    66,692/103,234 = 103,234/x
  3. Step 3: Cross multiply
    66,692x = 103,234 × 103,234
  4. Step 4: Simplify right side
    66,692x = 10,657,258,756
  5. Step 5: Solve for x
    x = 10,657,258,756/66,692
  6. Step 6: Final answer
    x = 159,798.16

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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.