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Finding the Third Proportional to 43,140 and 94,952

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Solution

The third proportional to 43,140 and 94,952 is: 208,991.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,140 : 94,952 = 94,952 : x
  2. Step 2: Convert to fraction form
    43,140/94,952 = 94,952/x
  3. Step 3: Cross multiply
    43,140x = 94,952 × 94,952
  4. Step 4: Simplify right side
    43,140x = 9,015,882,304
  5. Step 5: Solve for x
    x = 9,015,882,304/43,140
  6. Step 6: Final answer
    x = 208,991.24

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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.