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Finding the Third Proportional to 123,968 and 268,537

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Solution

The third proportional to 123,968 and 268,537 is: 581,699.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,968 : 268,537 = 268,537 : x
  2. Step 2: Convert to fraction form
    123,968/268,537 = 268,537/x
  3. Step 3: Cross multiply
    123,968x = 268,537 × 268,537
  4. Step 4: Simplify right side
    123,968x = 72,112,120,369
  5. Step 5: Solve for x
    x = 72,112,120,369/123,968
  6. Step 6: Final answer
    x = 581,699.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.