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Finding the Third Proportional to 113,919.75 and 183,029.63

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Solution

The third proportional to 113,919.75 and 183,029.63 is: 294,065.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,919.75 : 183,029.63 = 183,029.63 : x
  2. Step 2: Convert to fraction form
    113,919.75/183,029.63 = 183,029.63/x
  3. Step 3: Cross multiply
    113,919.75x = 183,029.63 × 183,029.63
  4. Step 4: Simplify right side
    113,919.75x = 33,499,843,627.64
  5. Step 5: Solve for x
    x = 33,499,843,627.64/113,919.75
  6. Step 6: Final answer
    x = 294,065.28

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.