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Finding the Third Proportional to 41,130 and 85,173

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Solution

The third proportional to 41,130 and 85,173 is: 176,378.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,130 : 85,173 = 85,173 : x
  2. Step 2: Convert to fraction form
    41,130/85,173 = 85,173/x
  3. Step 3: Cross multiply
    41,130x = 85,173 × 85,173
  4. Step 4: Simplify right side
    41,130x = 7,254,439,929
  5. Step 5: Solve for x
    x = 7,254,439,929/41,130
  6. Step 6: Final answer
    x = 176,378.31

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.