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Finding the Third Proportional to 89,582 and 135,519.50

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Solution

The third proportional to 89,582 and 135,519.50 is: 205,013.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,582 : 135,519.50 = 135,519.50 : x
  2. Step 2: Convert to fraction form
    89,582/135,519.50 = 135,519.50/x
  3. Step 3: Cross multiply
    89,582x = 135,519.50 × 135,519.50
  4. Step 4: Simplify right side
    89,582x = 18,365,534,880.25
  5. Step 5: Solve for x
    x = 18,365,534,880.25/89,582
  6. Step 6: Final answer
    x = 205,013.67

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Why These Related Problems?

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