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Finding the Third Proportional to 127,322.98 and 265,105.41

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Solution

The third proportional to 127,322.98 and 265,105.41 is: 551,988.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,322.98 : 265,105.41 = 265,105.41 : x
  2. Step 2: Convert to fraction form
    127,322.98/265,105.41 = 265,105.41/x
  3. Step 3: Cross multiply
    127,322.98x = 265,105.41 × 265,105.41
  4. Step 4: Simplify right side
    127,322.98x = 70,280,876,422.98
  5. Step 5: Solve for x
    x = 70,280,876,422.98/127,322.98
  6. Step 6: Final answer
    x = 551,988.93

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.