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Finding the Third Proportional to 89,720 and 132,842

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Solution

The third proportional to 89,720 and 132,842 is: 196,689.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,720 : 132,842 = 132,842 : x
  2. Step 2: Convert to fraction form
    89,720/132,842 = 132,842/x
  3. Step 3: Cross multiply
    89,720x = 132,842 × 132,842
  4. Step 4: Simplify right side
    89,720x = 17,646,996,964
  5. Step 5: Solve for x
    x = 17,646,996,964/89,720
  6. Step 6: Final answer
    x = 196,689.67

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.