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Finding the Third Proportional to 77,860 and 120,293

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Solution

The third proportional to 77,860 and 120,293 is: 185,851.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,860 : 120,293 = 120,293 : x
  2. Step 2: Convert to fraction form
    77,860/120,293 = 120,293/x
  3. Step 3: Cross multiply
    77,860x = 120,293 × 120,293
  4. Step 4: Simplify right side
    77,860x = 14,470,405,849
  5. Step 5: Solve for x
    x = 14,470,405,849/77,860
  6. Step 6: Final answer
    x = 185,851.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.