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Finding the Third Proportional to 117,697 and 151,120

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Solution

The third proportional to 117,697 and 151,120 is: 194,034.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,697 : 151,120 = 151,120 : x
  2. Step 2: Convert to fraction form
    117,697/151,120 = 151,120/x
  3. Step 3: Cross multiply
    117,697x = 151,120 × 151,120
  4. Step 4: Simplify right side
    117,697x = 22,837,254,400
  5. Step 5: Solve for x
    x = 22,837,254,400/117,697
  6. Step 6: Final answer
    x = 194,034.29

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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.