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Finding the Third Proportional to 70,103.25 and 152,038.13

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Solution

The third proportional to 70,103.25 and 152,038.13 is: 329,736.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,103.25 : 152,038.13 = 152,038.13 : x
  2. Step 2: Convert to fraction form
    70,103.25/152,038.13 = 152,038.13/x
  3. Step 3: Cross multiply
    70,103.25x = 152,038.13 × 152,038.13
  4. Step 4: Simplify right side
    70,103.25x = 23,115,591,453.52
  5. Step 5: Solve for x
    x = 23,115,591,453.52/70,103.25
  6. Step 6: Final answer
    x = 329,736.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.