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Finding the Third Proportional to 52,774 and 124,582

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Solution

The third proportional to 52,774 and 124,582 is: 294,096.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,774 : 124,582 = 124,582 : x
  2. Step 2: Convert to fraction form
    52,774/124,582 = 124,582/x
  3. Step 3: Cross multiply
    52,774x = 124,582 × 124,582
  4. Step 4: Simplify right side
    52,774x = 15,520,674,724
  5. Step 5: Solve for x
    x = 15,520,674,724/52,774
  6. Step 6: Final answer
    x = 294,096.99

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.