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Finding the Third Proportional to 123,168 and 266,048

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Solution

The third proportional to 123,168 and 266,048 is: 574,674.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,168 : 266,048 = 266,048 : x
  2. Step 2: Convert to fraction form
    123,168/266,048 = 266,048/x
  3. Step 3: Cross multiply
    123,168x = 266,048 × 266,048
  4. Step 4: Simplify right side
    123,168x = 70,781,538,304
  5. Step 5: Solve for x
    x = 70,781,538,304/123,168
  6. Step 6: Final answer
    x = 574,674.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.