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Finding the Third Proportional to 45,586 and 97,860

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Solution

The third proportional to 45,586 and 97,860 is: 210,077.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,586 : 97,860 = 97,860 : x
  2. Step 2: Convert to fraction form
    45,586/97,860 = 97,860/x
  3. Step 3: Cross multiply
    45,586x = 97,860 × 97,860
  4. Step 4: Simplify right side
    45,586x = 9,576,579,600
  5. Step 5: Solve for x
    x = 9,576,579,600/45,586
  6. Step 6: Final answer
    x = 210,077.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.