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Finding the Third Proportional to 96,176 and 210,504

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Solution

The third proportional to 96,176 and 210,504 is: 460,737.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,176 : 210,504 = 210,504 : x
  2. Step 2: Convert to fraction form
    96,176/210,504 = 210,504/x
  3. Step 3: Cross multiply
    96,176x = 210,504 × 210,504
  4. Step 4: Simplify right side
    96,176x = 44,311,934,016
  5. Step 5: Solve for x
    x = 44,311,934,016/96,176
  6. Step 6: Final answer
    x = 460,737.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.