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Finding the Third Proportional to 42,467.63 and 89,066.25

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Solution

The third proportional to 42,467.63 and 89,066.25 is: 186,796.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,467.63 : 89,066.25 = 89,066.25 : x
  2. Step 2: Convert to fraction form
    42,467.63/89,066.25 = 89,066.25/x
  3. Step 3: Cross multiply
    42,467.63x = 89,066.25 × 89,066.25
  4. Step 4: Simplify right side
    42,467.63x = 7,932,796,889.06
  5. Step 5: Solve for x
    x = 7,932,796,889.06/42,467.63
  6. Step 6: Final answer
    x = 186,796.34

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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.