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Finding the Third Proportional to 39,706.50 and 87,193.50

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Solution

The third proportional to 39,706.50 and 87,193.50 is: 191,472.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,706.50 : 87,193.50 = 87,193.50 : x
  2. Step 2: Convert to fraction form
    39,706.50/87,193.50 = 87,193.50/x
  3. Step 3: Cross multiply
    39,706.50x = 87,193.50 × 87,193.50
  4. Step 4: Simplify right side
    39,706.50x = 7,602,706,442.25
  5. Step 5: Solve for x
    x = 7,602,706,442.25/39,706.50
  6. Step 6: Final answer
    x = 191,472.59

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.