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Finding the Third Proportional to 89,813 and 149,681

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Solution

The third proportional to 89,813 and 149,681 is: 249,456.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,813 : 149,681 = 149,681 : x
  2. Step 2: Convert to fraction form
    89,813/149,681 = 149,681/x
  3. Step 3: Cross multiply
    89,813x = 149,681 × 149,681
  4. Step 4: Simplify right side
    89,813x = 22,404,401,761
  5. Step 5: Solve for x
    x = 22,404,401,761/89,813
  6. Step 6: Final answer
    x = 249,456.11

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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.