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Finding the Third Proportional to 97,923 and 132,121.50

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Solution

The third proportional to 97,923 and 132,121.50 is: 178,263.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,923 : 132,121.50 = 132,121.50 : x
  2. Step 2: Convert to fraction form
    97,923/132,121.50 = 132,121.50/x
  3. Step 3: Cross multiply
    97,923x = 132,121.50 × 132,121.50
  4. Step 4: Simplify right side
    97,923x = 17,456,090,762.25
  5. Step 5: Solve for x
    x = 17,456,090,762.25/97,923
  6. Step 6: Final answer
    x = 178,263.44

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.