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Finding the Third Proportional to 100,707.50 and 141,173

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Solution

The third proportional to 100,707.50 and 141,173 is: 197,898.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,707.50 : 141,173 = 141,173 : x
  2. Step 2: Convert to fraction form
    100,707.50/141,173 = 141,173/x
  3. Step 3: Cross multiply
    100,707.50x = 141,173 × 141,173
  4. Step 4: Simplify right side
    100,707.50x = 19,929,815,929
  5. Step 5: Solve for x
    x = 19,929,815,929/100,707.50
  6. Step 6: Final answer
    x = 197,898.03

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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.