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Finding the Third Proportional to 113,039 and 174,755

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Solution

The third proportional to 113,039 and 174,755 is: 270,166.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,039 : 174,755 = 174,755 : x
  2. Step 2: Convert to fraction form
    113,039/174,755 = 174,755/x
  3. Step 3: Cross multiply
    113,039x = 174,755 × 174,755
  4. Step 4: Simplify right side
    113,039x = 30,539,310,025
  5. Step 5: Solve for x
    x = 30,539,310,025/113,039
  6. Step 6: Final answer
    x = 270,166.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.