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Finding the Third Proportional to 42,092 and 63,848

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Solution

The third proportional to 42,092 and 63,848 is: 96,848.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,092 : 63,848 = 63,848 : x
  2. Step 2: Convert to fraction form
    42,092/63,848 = 63,848/x
  3. Step 3: Cross multiply
    42,092x = 63,848 × 63,848
  4. Step 4: Simplify right side
    42,092x = 4,076,567,104
  5. Step 5: Solve for x
    x = 4,076,567,104/42,092
  6. Step 6: Final answer
    x = 96,848.98

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.