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Finding the Third Proportional to 124,531 and 174,742

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Solution

The third proportional to 124,531 and 174,742 is: 245,198.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,531 : 174,742 = 174,742 : x
  2. Step 2: Convert to fraction form
    124,531/174,742 = 174,742/x
  3. Step 3: Cross multiply
    124,531x = 174,742 × 174,742
  4. Step 4: Simplify right side
    124,531x = 30,534,766,564
  5. Step 5: Solve for x
    x = 30,534,766,564/124,531
  6. Step 6: Final answer
    x = 245,198.12

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.