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Finding the Third Proportional to 42,164 and 88,972

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Solution

The third proportional to 42,164 and 88,972 is: 187,743.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,164 : 88,972 = 88,972 : x
  2. Step 2: Convert to fraction form
    42,164/88,972 = 88,972/x
  3. Step 3: Cross multiply
    42,164x = 88,972 × 88,972
  4. Step 4: Simplify right side
    42,164x = 7,916,016,784
  5. Step 5: Solve for x
    x = 7,916,016,784/42,164
  6. Step 6: Final answer
    x = 187,743.50

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.