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Finding the Third Proportional to 89,230.50 and 131,378.63

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Solution

The third proportional to 89,230.50 and 131,378.63 is: 193,435.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,230.50 : 131,378.63 = 131,378.63 : x
  2. Step 2: Convert to fraction form
    89,230.50/131,378.63 = 131,378.63/x
  3. Step 3: Cross multiply
    89,230.50x = 131,378.63 × 131,378.63
  4. Step 4: Simplify right side
    89,230.50x = 17,260,343,106.89
  5. Step 5: Solve for x
    x = 17,260,343,106.89/89,230.50
  6. Step 6: Final answer
    x = 193,435.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.