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Finding the Third Proportional to 41,343 and 89,553

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Solution

The third proportional to 41,343 and 89,553 is: 193,980.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,343 : 89,553 = 89,553 : x
  2. Step 2: Convert to fraction form
    41,343/89,553 = 89,553/x
  3. Step 3: Cross multiply
    41,343x = 89,553 × 89,553
  4. Step 4: Simplify right side
    41,343x = 8,019,739,809
  5. Step 5: Solve for x
    x = 8,019,739,809/41,343
  6. Step 6: Final answer
    x = 193,980.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.