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Finding the Third Proportional to 127,095.75 and 264,717.75

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Solution

The third proportional to 127,095.75 and 264,717.75 is: 551,359.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,095.75 : 264,717.75 = 264,717.75 : x
  2. Step 2: Convert to fraction form
    127,095.75/264,717.75 = 264,717.75/x
  3. Step 3: Cross multiply
    127,095.75x = 264,717.75 × 264,717.75
  4. Step 4: Simplify right side
    127,095.75x = 70,075,487,165.06
  5. Step 5: Solve for x
    x = 70,075,487,165.06/127,095.75
  6. Step 6: Final answer
    x = 551,359.80

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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.