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Finding the Third Proportional to 106,963.13 and 160,111.13

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Solution

The third proportional to 106,963.13 and 160,111.13 is: 239,667.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,963.13 : 160,111.13 = 160,111.13 : x
  2. Step 2: Convert to fraction form
    106,963.13/160,111.13 = 160,111.13/x
  3. Step 3: Cross multiply
    106,963.13x = 160,111.13 × 160,111.13
  4. Step 4: Simplify right side
    106,963.13x = 25,635,572,348.77
  5. Step 5: Solve for x
    x = 25,635,572,348.77/106,963.13
  6. Step 6: Final answer
    x = 239,667.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.