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Finding the Third Proportional to 89,838 and 149,735

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Solution

The third proportional to 89,838 and 149,735 is: 249,566.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,838 : 149,735 = 149,735 : x
  2. Step 2: Convert to fraction form
    89,838/149,735 = 149,735/x
  3. Step 3: Cross multiply
    89,838x = 149,735 × 149,735
  4. Step 4: Simplify right side
    89,838x = 22,420,570,225
  5. Step 5: Solve for x
    x = 22,420,570,225/89,838
  6. Step 6: Final answer
    x = 249,566.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.