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Finding the Third Proportional to 120,470 and 160,995

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Solution

The third proportional to 120,470 and 160,995 is: 215,152.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,470 : 160,995 = 160,995 : x
  2. Step 2: Convert to fraction form
    120,470/160,995 = 160,995/x
  3. Step 3: Cross multiply
    120,470x = 160,995 × 160,995
  4. Step 4: Simplify right side
    120,470x = 25,919,390,025
  5. Step 5: Solve for x
    x = 25,919,390,025/120,470
  6. Step 6: Final answer
    x = 215,152.24

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.