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Finding the Third Proportional to 100,705 and 141,170

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Solution

The third proportional to 100,705 and 141,170 is: 197,894.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,705 : 141,170 = 141,170 : x
  2. Step 2: Convert to fraction form
    100,705/141,170 = 141,170/x
  3. Step 3: Cross multiply
    100,705x = 141,170 × 141,170
  4. Step 4: Simplify right side
    100,705x = 19,928,968,900
  5. Step 5: Solve for x
    x = 19,928,968,900/100,705
  6. Step 6: Final answer
    x = 197,894.53

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.