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Finding the Third Proportional to 89,216 and 134,580

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Solution

The third proportional to 89,216 and 134,580 is: 203,010.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,216 : 134,580 = 134,580 : x
  2. Step 2: Convert to fraction form
    89,216/134,580 = 134,580/x
  3. Step 3: Cross multiply
    89,216x = 134,580 × 134,580
  4. Step 4: Simplify right side
    89,216x = 18,111,776,400
  5. Step 5: Solve for x
    x = 18,111,776,400/89,216
  6. Step 6: Final answer
    x = 203,010.41

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.