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Finding the Third Proportional to 89,211.75 and 130,467

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Solution

The third proportional to 89,211.75 and 130,467 is: 190,800.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,211.75 : 130,467 = 130,467 : x
  2. Step 2: Convert to fraction form
    89,211.75/130,467 = 130,467/x
  3. Step 3: Cross multiply
    89,211.75x = 130,467 × 130,467
  4. Step 4: Simplify right side
    89,211.75x = 17,021,638,089
  5. Step 5: Solve for x
    x = 17,021,638,089/89,211.75
  6. Step 6: Final answer
    x = 190,800.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.