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Finding the Third Proportional to 71,563.50 and 141,061.50

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Solution

The third proportional to 71,563.50 and 141,061.50 is: 278,051.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,563.50 : 141,061.50 = 141,061.50 : x
  2. Step 2: Convert to fraction form
    71,563.50/141,061.50 = 141,061.50/x
  3. Step 3: Cross multiply
    71,563.50x = 141,061.50 × 141,061.50
  4. Step 4: Simplify right side
    71,563.50x = 19,898,346,782.25
  5. Step 5: Solve for x
    x = 19,898,346,782.25/71,563.50
  6. Step 6: Final answer
    x = 278,051.62

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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.