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Finding the Third Proportional to 46,082 and 70,354

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Solution

The third proportional to 46,082 and 70,354 is: 107,410.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,082 : 70,354 = 70,354 : x
  2. Step 2: Convert to fraction form
    46,082/70,354 = 70,354/x
  3. Step 3: Cross multiply
    46,082x = 70,354 × 70,354
  4. Step 4: Simplify right side
    46,082x = 4,949,685,316
  5. Step 5: Solve for x
    x = 4,949,685,316/46,082
  6. Step 6: Final answer
    x = 107,410.38

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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.