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Finding the Third Proportional to 77,357 and 104,371

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Solution

The third proportional to 77,357 and 104,371 is: 140,818.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,357 : 104,371 = 104,371 : x
  2. Step 2: Convert to fraction form
    77,357/104,371 = 104,371/x
  3. Step 3: Cross multiply
    77,357x = 104,371 × 104,371
  4. Step 4: Simplify right side
    77,357x = 10,893,305,641
  5. Step 5: Solve for x
    x = 10,893,305,641/77,357
  6. Step 6: Final answer
    x = 140,818.62

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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.