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Finding the Third Proportional to 52,912 and 85,072

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Solution

The third proportional to 52,912 and 85,072 is: 136,778.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,912 : 85,072 = 85,072 : x
  2. Step 2: Convert to fraction form
    52,912/85,072 = 85,072/x
  3. Step 3: Cross multiply
    52,912x = 85,072 × 85,072
  4. Step 4: Simplify right side
    52,912x = 7,237,245,184
  5. Step 5: Solve for x
    x = 7,237,245,184/52,912
  6. Step 6: Final answer
    x = 136,778.90

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.