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Finding the Third Proportional to 111,391.50 and 148,482.75

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Solution

The third proportional to 111,391.50 and 148,482.75 is: 197,924.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,391.50 : 148,482.75 = 148,482.75 : x
  2. Step 2: Convert to fraction form
    111,391.50/148,482.75 = 148,482.75/x
  3. Step 3: Cross multiply
    111,391.50x = 148,482.75 × 148,482.75
  4. Step 4: Simplify right side
    111,391.50x = 22,047,127,047.56
  5. Step 5: Solve for x
    x = 22,047,127,047.56/111,391.50
  6. Step 6: Final answer
    x = 197,924.68

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.