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Finding the Third Proportional to 53,192 and 111,892

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Solution

The third proportional to 53,192 and 111,892 is: 235,370.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,192 : 111,892 = 111,892 : x
  2. Step 2: Convert to fraction form
    53,192/111,892 = 111,892/x
  3. Step 3: Cross multiply
    53,192x = 111,892 × 111,892
  4. Step 4: Simplify right side
    53,192x = 12,519,819,664
  5. Step 5: Solve for x
    x = 12,519,819,664/53,192
  6. Step 6: Final answer
    x = 235,370.35

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.