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Finding the Third Proportional to 72,408.09 and 112,114.97

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Solution

The third proportional to 72,408.09 and 112,114.97 is: 173,596.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,408.09 : 112,114.97 = 112,114.97 : x
  2. Step 2: Convert to fraction form
    72,408.09/112,114.97 = 112,114.97/x
  3. Step 3: Cross multiply
    72,408.09x = 112,114.97 × 112,114.97
  4. Step 4: Simplify right side
    72,408.09x = 12,569,766,217.81
  5. Step 5: Solve for x
    x = 12,569,766,217.81/72,408.09
  6. Step 6: Final answer
    x = 173,596.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.