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Finding the Third Proportional to 103,259.81 and 138,963.09

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Solution

The third proportional to 103,259.81 and 138,963.09 is: 187,011.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,259.81 : 138,963.09 = 138,963.09 : x
  2. Step 2: Convert to fraction form
    103,259.81/138,963.09 = 138,963.09/x
  3. Step 3: Cross multiply
    103,259.81x = 138,963.09 × 138,963.09
  4. Step 4: Simplify right side
    103,259.81x = 19,310,741,424.57
  5. Step 5: Solve for x
    x = 19,310,741,424.57/103,259.81
  6. Step 6: Final answer
    x = 187,011.20

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.