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Finding the Third Proportional to 127,095 and 264,717

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Solution

The third proportional to 127,095 and 264,717 is: 551,359.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,095 : 264,717 = 264,717 : x
  2. Step 2: Convert to fraction form
    127,095/264,717 = 264,717/x
  3. Step 3: Cross multiply
    127,095x = 264,717 × 264,717
  4. Step 4: Simplify right side
    127,095x = 70,075,090,089
  5. Step 5: Solve for x
    x = 70,075,090,089/127,095
  6. Step 6: Final answer
    x = 551,359.93

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Why These Related Problems?

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