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Finding the Third Proportional to 100,609.50 and 141,014

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Solution

The third proportional to 100,609.50 and 141,014 is: 197,644.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,609.50 : 141,014 = 141,014 : x
  2. Step 2: Convert to fraction form
    100,609.50/141,014 = 141,014/x
  3. Step 3: Cross multiply
    100,609.50x = 141,014 × 141,014
  4. Step 4: Simplify right side
    100,609.50x = 19,884,948,196
  5. Step 5: Solve for x
    x = 19,884,948,196/100,609.50
  6. Step 6: Final answer
    x = 197,644.84

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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.