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Finding the Third Proportional to 46,135 and 70,529

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Solution

The third proportional to 46,135 and 70,529 is: 107,821.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,135 : 70,529 = 70,529 : x
  2. Step 2: Convert to fraction form
    46,135/70,529 = 70,529/x
  3. Step 3: Cross multiply
    46,135x = 70,529 × 70,529
  4. Step 4: Simplify right side
    46,135x = 4,974,339,841
  5. Step 5: Solve for x
    x = 4,974,339,841/46,135
  6. Step 6: Final answer
    x = 107,821.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.