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Finding the Third Proportional to 42,241 and 92,270.50

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Solution

The third proportional to 42,241 and 92,270.50 is: 201,554.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,241 : 92,270.50 = 92,270.50 : x
  2. Step 2: Convert to fraction form
    42,241/92,270.50 = 92,270.50/x
  3. Step 3: Cross multiply
    42,241x = 92,270.50 × 92,270.50
  4. Step 4: Simplify right side
    42,241x = 8,513,845,170.25
  5. Step 5: Solve for x
    x = 8,513,845,170.25/42,241
  6. Step 6: Final answer
    x = 201,554.06

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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.