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Finding the Third Proportional to 113,037 and 174,752

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Solution

The third proportional to 113,037 and 174,752 is: 270,161.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,037 : 174,752 = 174,752 : x
  2. Step 2: Convert to fraction form
    113,037/174,752 = 174,752/x
  3. Step 3: Cross multiply
    113,037x = 174,752 × 174,752
  4. Step 4: Simplify right side
    113,037x = 30,538,261,504
  5. Step 5: Solve for x
    x = 30,538,261,504/113,037
  6. Step 6: Final answer
    x = 270,161.64

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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.