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Finding the Third Proportional to 52,892 and 115,428.50

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Solution

The third proportional to 52,892 and 115,428.50 is: 251,904.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,892 : 115,428.50 = 115,428.50 : x
  2. Step 2: Convert to fraction form
    52,892/115,428.50 = 115,428.50/x
  3. Step 3: Cross multiply
    52,892x = 115,428.50 × 115,428.50
  4. Step 4: Simplify right side
    52,892x = 13,323,738,612.25
  5. Step 5: Solve for x
    x = 13,323,738,612.25/52,892
  6. Step 6: Final answer
    x = 251,904.61

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.