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Finding the Third Proportional to 103,994 and 152,091

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Solution

The third proportional to 103,994 and 152,091 is: 222,432.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,994 : 152,091 = 152,091 : x
  2. Step 2: Convert to fraction form
    103,994/152,091 = 152,091/x
  3. Step 3: Cross multiply
    103,994x = 152,091 × 152,091
  4. Step 4: Simplify right side
    103,994x = 23,131,672,281
  5. Step 5: Solve for x
    x = 23,131,672,281/103,994
  6. Step 6: Final answer
    x = 222,432.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.