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Finding the Third Proportional to 53,665.03 and 109,076.63

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Solution

The third proportional to 53,665.03 and 109,076.63 is: 221,703.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,665.03 : 109,076.63 = 109,076.63 : x
  2. Step 2: Convert to fraction form
    53,665.03/109,076.63 = 109,076.63/x
  3. Step 3: Cross multiply
    53,665.03x = 109,076.63 × 109,076.63
  4. Step 4: Simplify right side
    53,665.03x = 11,897,710,121.39
  5. Step 5: Solve for x
    x = 11,897,710,121.39/53,665.03
  6. Step 6: Final answer
    x = 221,703.22

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.