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Finding the Third Proportional to 77,373 and 104,391

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Solution

The third proportional to 77,373 and 104,391 is: 140,843.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,373 : 104,391 = 104,391 : x
  2. Step 2: Convert to fraction form
    77,373/104,391 = 104,391/x
  3. Step 3: Cross multiply
    77,373x = 104,391 × 104,391
  4. Step 4: Simplify right side
    77,373x = 10,897,480,881
  5. Step 5: Solve for x
    x = 10,897,480,881/77,373
  6. Step 6: Final answer
    x = 140,843.46

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.