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Finding the Third Proportional to 42,456 and 89,043

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Solution

The third proportional to 42,456 and 89,043 is: 186,749.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,456 : 89,043 = 89,043 : x
  2. Step 2: Convert to fraction form
    42,456/89,043 = 89,043/x
  3. Step 3: Cross multiply
    42,456x = 89,043 × 89,043
  4. Step 4: Simplify right side
    42,456x = 7,928,655,849
  5. Step 5: Solve for x
    x = 7,928,655,849/42,456
  6. Step 6: Final answer
    x = 186,749.95

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.