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Finding the Third Proportional to 78,835 and 122,399

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Solution

The third proportional to 78,835 and 122,399 is: 190,036.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,835 : 122,399 = 122,399 : x
  2. Step 2: Convert to fraction form
    78,835/122,399 = 122,399/x
  3. Step 3: Cross multiply
    78,835x = 122,399 × 122,399
  4. Step 4: Simplify right side
    78,835x = 14,981,515,201
  5. Step 5: Solve for x
    x = 14,981,515,201/78,835
  6. Step 6: Final answer
    x = 190,036.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.