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Finding the Third Proportional to 71,492.63 and 141,189.75

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Solution

The third proportional to 71,492.63 and 141,189.75 is: 278,833.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,492.63 : 141,189.75 = 141,189.75 : x
  2. Step 2: Convert to fraction form
    71,492.63/141,189.75 = 141,189.75/x
  3. Step 3: Cross multiply
    71,492.63x = 141,189.75 × 141,189.75
  4. Step 4: Simplify right side
    71,492.63x = 19,934,545,505.06
  5. Step 5: Solve for x
    x = 19,934,545,505.06/71,492.63
  6. Step 6: Final answer
    x = 278,833.59

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.