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Finding the Third Proportional to 94,590 and 141,064

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Solution

The third proportional to 94,590 and 141,064 is: 210,371.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,590 : 141,064 = 141,064 : x
  2. Step 2: Convert to fraction form
    94,590/141,064 = 141,064/x
  3. Step 3: Cross multiply
    94,590x = 141,064 × 141,064
  4. Step 4: Simplify right side
    94,590x = 19,899,052,096
  5. Step 5: Solve for x
    x = 19,899,052,096/94,590
  6. Step 6: Final answer
    x = 210,371.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.