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Finding the Third Proportional to 42,458.25 and 89,973.75

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Solution

The third proportional to 42,458.25 and 89,973.75 is: 190,664.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,458.25 : 89,973.75 = 89,973.75 : x
  2. Step 2: Convert to fraction form
    42,458.25/89,973.75 = 89,973.75/x
  3. Step 3: Cross multiply
    42,458.25x = 89,973.75 × 89,973.75
  4. Step 4: Simplify right side
    42,458.25x = 8,095,275,689.06
  5. Step 5: Solve for x
    x = 8,095,275,689.06/42,458.25
  6. Step 6: Final answer
    x = 190,664.37

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.