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Finding the Third Proportional to 104,529 and 157,029

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Solution

The third proportional to 104,529 and 157,029 is: 235,897.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,529 : 157,029 = 157,029 : x
  2. Step 2: Convert to fraction form
    104,529/157,029 = 157,029/x
  3. Step 3: Cross multiply
    104,529x = 157,029 × 157,029
  4. Step 4: Simplify right side
    104,529x = 24,658,106,841
  5. Step 5: Solve for x
    x = 24,658,106,841/104,529
  6. Step 6: Final answer
    x = 235,897.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.