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Finding the Third Proportional to 46,006 and 93,702

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Solution

The third proportional to 46,006 and 93,702 is: 190,846.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,006 : 93,702 = 93,702 : x
  2. Step 2: Convert to fraction form
    46,006/93,702 = 93,702/x
  3. Step 3: Cross multiply
    46,006x = 93,702 × 93,702
  4. Step 4: Simplify right side
    46,006x = 8,780,064,804
  5. Step 5: Solve for x
    x = 8,780,064,804/46,006
  6. Step 6: Final answer
    x = 190,846.08

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.