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Finding the Third Proportional to 72,954 and 104,315

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Solution

The third proportional to 72,954 and 104,315 is: 149,157.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,954 : 104,315 = 104,315 : x
  2. Step 2: Convert to fraction form
    72,954/104,315 = 104,315/x
  3. Step 3: Cross multiply
    72,954x = 104,315 × 104,315
  4. Step 4: Simplify right side
    72,954x = 10,881,619,225
  5. Step 5: Solve for x
    x = 10,881,619,225/72,954
  6. Step 6: Final answer
    x = 149,157.27

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.