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Finding the Third Proportional to 42,603 and 92,258.50

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Solution

The third proportional to 42,603 and 92,258.50 is: 199,789.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,603 : 92,258.50 = 92,258.50 : x
  2. Step 2: Convert to fraction form
    42,603/92,258.50 = 92,258.50/x
  3. Step 3: Cross multiply
    42,603x = 92,258.50 × 92,258.50
  4. Step 4: Simplify right side
    42,603x = 8,511,630,822.25
  5. Step 5: Solve for x
    x = 8,511,630,822.25/42,603
  6. Step 6: Final answer
    x = 199,789.47

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.