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Finding the Third Proportional to 53,652.38 and 105,954.33

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Solution

The third proportional to 53,652.38 and 105,954.33 is: 209,241.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,652.38 : 105,954.33 = 105,954.33 : x
  2. Step 2: Convert to fraction form
    53,652.38/105,954.33 = 105,954.33/x
  3. Step 3: Cross multiply
    53,652.38x = 105,954.33 × 105,954.33
  4. Step 4: Simplify right side
    53,652.38x = 11,226,319,648.42
  5. Step 5: Solve for x
    x = 11,226,319,648.42/53,652.38
  6. Step 6: Final answer
    x = 209,241.80

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.