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Finding the Third Proportional to 73,638 and 113,351.63

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Solution

The third proportional to 73,638 and 113,351.63 is: 174,483.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,638 : 113,351.63 = 113,351.63 : x
  2. Step 2: Convert to fraction form
    73,638/113,351.63 = 113,351.63/x
  3. Step 3: Cross multiply
    73,638x = 113,351.63 × 113,351.63
  4. Step 4: Simplify right side
    73,638x = 12,848,590,890.14
  5. Step 5: Solve for x
    x = 12,848,590,890.14/73,638
  6. Step 6: Final answer
    x = 174,483.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.