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Finding the Third Proportional to 117,697.50 and 151,121

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Solution

The third proportional to 117,697.50 and 151,121 is: 194,036.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,697.50 : 151,121 = 151,121 : x
  2. Step 2: Convert to fraction form
    117,697.50/151,121 = 151,121/x
  3. Step 3: Cross multiply
    117,697.50x = 151,121 × 151,121
  4. Step 4: Simplify right side
    117,697.50x = 22,837,556,641
  5. Step 5: Solve for x
    x = 22,837,556,641/117,697.50
  6. Step 6: Final answer
    x = 194,036.04

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.