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Finding the Third Proportional to 89,408.25 and 125,312.63

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Solution

The third proportional to 89,408.25 and 125,312.63 is: 175,635.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,408.25 : 125,312.63 = 125,312.63 : x
  2. Step 2: Convert to fraction form
    89,408.25/125,312.63 = 125,312.63/x
  3. Step 3: Cross multiply
    89,408.25x = 125,312.63 × 125,312.63
  4. Step 4: Simplify right side
    89,408.25x = 15,703,253,984.39
  5. Step 5: Solve for x
    x = 15,703,253,984.39/89,408.25
  6. Step 6: Final answer
    x = 175,635.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.