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Finding the Third Proportional to 42,739.31 and 93,004.31

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Solution

The third proportional to 42,739.31 and 93,004.31 is: 202,385.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,739.31 : 93,004.31 = 93,004.31 : x
  2. Step 2: Convert to fraction form
    42,739.31/93,004.31 = 93,004.31/x
  3. Step 3: Cross multiply
    42,739.31x = 93,004.31 × 93,004.31
  4. Step 4: Simplify right side
    42,739.31x = 8,649,802,143.60
  5. Step 5: Solve for x
    x = 8,649,802,143.60/42,739.31
  6. Step 6: Final answer
    x = 202,385.15

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.