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Finding the Third Proportional to 42,991 and 94,700

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Solution

The third proportional to 42,991 and 94,700 is: 208,603.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,991 : 94,700 = 94,700 : x
  2. Step 2: Convert to fraction form
    42,991/94,700 = 94,700/x
  3. Step 3: Cross multiply
    42,991x = 94,700 × 94,700
  4. Step 4: Simplify right side
    42,991x = 8,968,090,000
  5. Step 5: Solve for x
    x = 8,968,090,000/42,991
  6. Step 6: Final answer
    x = 208,603.89

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.