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Finding the Third Proportional to 124,741 and 300,742

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Solution

The third proportional to 124,741 and 300,742 is: 725,068.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,741 : 300,742 = 300,742 : x
  2. Step 2: Convert to fraction form
    124,741/300,742 = 300,742/x
  3. Step 3: Cross multiply
    124,741x = 300,742 × 300,742
  4. Step 4: Simplify right side
    124,741x = 90,445,750,564
  5. Step 5: Solve for x
    x = 90,445,750,564/124,741
  6. Step 6: Final answer
    x = 725,068.35

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.