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Finding the Third Proportional to 89,838 and 149,717

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Solution

The third proportional to 89,838 and 149,717 is: 249,506.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,838 : 149,717 = 149,717 : x
  2. Step 2: Convert to fraction form
    89,838/149,717 = 149,717/x
  3. Step 3: Cross multiply
    89,838x = 149,717 × 149,717
  4. Step 4: Simplify right side
    89,838x = 22,415,180,089
  5. Step 5: Solve for x
    x = 22,415,180,089/89,838
  6. Step 6: Final answer
    x = 249,506.67

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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.