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Finding the Third Proportional to 42,071.50 and 92,063

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Solution

The third proportional to 42,071.50 and 92,063 is: 201,456.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,071.50 : 92,063 = 92,063 : x
  2. Step 2: Convert to fraction form
    42,071.50/92,063 = 92,063/x
  3. Step 3: Cross multiply
    42,071.50x = 92,063 × 92,063
  4. Step 4: Simplify right side
    42,071.50x = 8,475,595,969
  5. Step 5: Solve for x
    x = 8,475,595,969/42,071.50
  6. Step 6: Final answer
    x = 201,456.95

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.