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Finding the Third Proportional to 42,487.03 and 83,880.56

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Solution

The third proportional to 42,487.03 and 83,880.56 is: 165,602.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,487.03 : 83,880.56 = 83,880.56 : x
  2. Step 2: Convert to fraction form
    42,487.03/83,880.56 = 83,880.56/x
  3. Step 3: Cross multiply
    42,487.03x = 83,880.56 × 83,880.56
  4. Step 4: Simplify right side
    42,487.03x = 7,035,948,765.32
  5. Step 5: Solve for x
    x = 7,035,948,765.32/42,487.03
  6. Step 6: Final answer
    x = 165,602.27

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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.