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Finding the Third Proportional to 113,892 and 170,784

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Solution

The third proportional to 113,892 and 170,784 is: 256,095.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,892 : 170,784 = 170,784 : x
  2. Step 2: Convert to fraction form
    113,892/170,784 = 170,784/x
  3. Step 3: Cross multiply
    113,892x = 170,784 × 170,784
  4. Step 4: Simplify right side
    113,892x = 29,167,174,656
  5. Step 5: Solve for x
    x = 29,167,174,656/113,892
  6. Step 6: Final answer
    x = 256,095.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.