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Finding the Third Proportional to 124,756 and 180,582

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Solution

The third proportional to 124,756 and 180,582 is: 261,389.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,756 : 180,582 = 180,582 : x
  2. Step 2: Convert to fraction form
    124,756/180,582 = 180,582/x
  3. Step 3: Cross multiply
    124,756x = 180,582 × 180,582
  4. Step 4: Simplify right side
    124,756x = 32,609,858,724
  5. Step 5: Solve for x
    x = 32,609,858,724/124,756
  6. Step 6: Final answer
    x = 261,389.10

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.