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Finding the Third Proportional to 138,004.88 and 281,085.75

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Solution

The third proportional to 138,004.88 and 281,085.75 is: 572,510.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,004.88 : 281,085.75 = 281,085.75 : x
  2. Step 2: Convert to fraction form
    138,004.88/281,085.75 = 281,085.75/x
  3. Step 3: Cross multiply
    138,004.88x = 281,085.75 × 281,085.75
  4. Step 4: Simplify right side
    138,004.88x = 79,009,198,853.06
  5. Step 5: Solve for x
    x = 79,009,198,853.06/138,004.88
  6. Step 6: Final answer
    x = 572,510.20

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.