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Finding the Third Proportional to 46,004 and 85,444

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Solution

The third proportional to 46,004 and 85,444 is: 158,696.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,004 : 85,444 = 85,444 : x
  2. Step 2: Convert to fraction form
    46,004/85,444 = 85,444/x
  3. Step 3: Cross multiply
    46,004x = 85,444 × 85,444
  4. Step 4: Simplify right side
    46,004x = 7,300,677,136
  5. Step 5: Solve for x
    x = 7,300,677,136/46,004
  6. Step 6: Final answer
    x = 158,696.57

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.