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Finding the Third Proportional to 79,301 and 116,761

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Solution

The third proportional to 79,301 and 116,761 is: 171,916.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,301 : 116,761 = 116,761 : x
  2. Step 2: Convert to fraction form
    79,301/116,761 = 116,761/x
  3. Step 3: Cross multiply
    79,301x = 116,761 × 116,761
  4. Step 4: Simplify right side
    79,301x = 13,633,131,121
  5. Step 5: Solve for x
    x = 13,633,131,121/79,301
  6. Step 6: Final answer
    x = 171,916.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.