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Finding the Third Proportional to 124,774 and 272,880

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Solution

The third proportional to 124,774 and 272,880 is: 596,786.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,774 : 272,880 = 272,880 : x
  2. Step 2: Convert to fraction form
    124,774/272,880 = 272,880/x
  3. Step 3: Cross multiply
    124,774x = 272,880 × 272,880
  4. Step 4: Simplify right side
    124,774x = 74,463,494,400
  5. Step 5: Solve for x
    x = 74,463,494,400/124,774
  6. Step 6: Final answer
    x = 596,786.95

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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.