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Finding the Third Proportional to 124,719 and 272,728

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Solution

The third proportional to 124,719 and 272,728 is: 596,385.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,719 : 272,728 = 272,728 : x
  2. Step 2: Convert to fraction form
    124,719/272,728 = 272,728/x
  3. Step 3: Cross multiply
    124,719x = 272,728 × 272,728
  4. Step 4: Simplify right side
    124,719x = 74,380,561,984
  5. Step 5: Solve for x
    x = 74,380,561,984/124,719
  6. Step 6: Final answer
    x = 596,385.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.