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Finding the Third Proportional to 89,776 and 140,848

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Solution

The third proportional to 89,776 and 140,848 is: 220,973.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,776 : 140,848 = 140,848 : x
  2. Step 2: Convert to fraction form
    89,776/140,848 = 140,848/x
  3. Step 3: Cross multiply
    89,776x = 140,848 × 140,848
  4. Step 4: Simplify right side
    89,776x = 19,838,159,104
  5. Step 5: Solve for x
    x = 19,838,159,104/89,776
  6. Step 6: Final answer
    x = 220,973.97

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.