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Finding the Third Proportional to 134,113.22 and 293,137.73

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Solution

The third proportional to 134,113.22 and 293,137.73 is: 640,725.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,113.22 : 293,137.73 = 293,137.73 : x
  2. Step 2: Convert to fraction form
    134,113.22/293,137.73 = 293,137.73/x
  3. Step 3: Cross multiply
    134,113.22x = 293,137.73 × 293,137.73
  4. Step 4: Simplify right side
    134,113.22x = 85,929,731,314.51
  5. Step 5: Solve for x
    x = 85,929,731,314.51/134,113.22
  6. Step 6: Final answer
    x = 640,725.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.