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Finding the Third Proportional to 89,841 and 149,722

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Solution

The third proportional to 89,841 and 149,722 is: 249,515.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,841 : 149,722 = 149,722 : x
  2. Step 2: Convert to fraction form
    89,841/149,722 = 149,722/x
  3. Step 3: Cross multiply
    89,841x = 149,722 × 149,722
  4. Step 4: Simplify right side
    89,841x = 22,416,677,284
  5. Step 5: Solve for x
    x = 22,416,677,284/89,841
  6. Step 6: Final answer
    x = 249,515.00

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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.