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Finding the Third Proportional to 53,948 and 86,192

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Solution

The third proportional to 53,948 and 86,192 is: 137,707.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,948 : 86,192 = 86,192 : x
  2. Step 2: Convert to fraction form
    53,948/86,192 = 86,192/x
  3. Step 3: Cross multiply
    53,948x = 86,192 × 86,192
  4. Step 4: Simplify right side
    53,948x = 7,429,060,864
  5. Step 5: Solve for x
    x = 7,429,060,864/53,948
  6. Step 6: Final answer
    x = 137,707.81

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.