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Finding the Third Proportional to 97,213.50 and 130,647

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Solution

The third proportional to 97,213.50 and 130,647 is: 175,578.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,213.50 : 130,647 = 130,647 : x
  2. Step 2: Convert to fraction form
    97,213.50/130,647 = 130,647/x
  3. Step 3: Cross multiply
    97,213.50x = 130,647 × 130,647
  4. Step 4: Simplify right side
    97,213.50x = 17,068,638,609
  5. Step 5: Solve for x
    x = 17,068,638,609/97,213.50
  6. Step 6: Final answer
    x = 175,578.89

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.