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Finding the Third Proportional to 123,718 and 275,768

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Solution

The third proportional to 123,718 and 275,768 is: 614,688.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,718 : 275,768 = 275,768 : x
  2. Step 2: Convert to fraction form
    123,718/275,768 = 275,768/x
  3. Step 3: Cross multiply
    123,718x = 275,768 × 275,768
  4. Step 4: Simplify right side
    123,718x = 76,047,989,824
  5. Step 5: Solve for x
    x = 76,047,989,824/123,718
  6. Step 6: Final answer
    x = 614,688.16

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.