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Finding the Third Proportional to 53,328.38 and 123,456.66

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Solution

The third proportional to 53,328.38 and 123,456.66 is: 285,805.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,328.38 : 123,456.66 = 123,456.66 : x
  2. Step 2: Convert to fraction form
    53,328.38/123,456.66 = 123,456.66/x
  3. Step 3: Cross multiply
    53,328.38x = 123,456.66 × 123,456.66
  4. Step 4: Simplify right side
    53,328.38x = 15,241,545,972.43
  5. Step 5: Solve for x
    x = 15,241,545,972.43/53,328.38
  6. Step 6: Final answer
    x = 285,805.56

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.