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Finding the Third Proportional to 83,892 and 130,052

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Solution

The third proportional to 83,892 and 130,052 is: 201,610.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,892 : 130,052 = 130,052 : x
  2. Step 2: Convert to fraction form
    83,892/130,052 = 130,052/x
  3. Step 3: Cross multiply
    83,892x = 130,052 × 130,052
  4. Step 4: Simplify right side
    83,892x = 16,913,522,704
  5. Step 5: Solve for x
    x = 16,913,522,704/83,892
  6. Step 6: Final answer
    x = 201,610.67

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.