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Finding the Third Proportional to 34,430 and 75,176

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Solution

The third proportional to 34,430 and 75,176 is: 164,142.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,430 : 75,176 = 75,176 : x
  2. Step 2: Convert to fraction form
    34,430/75,176 = 75,176/x
  3. Step 3: Cross multiply
    34,430x = 75,176 × 75,176
  4. Step 4: Simplify right side
    34,430x = 5,651,430,976
  5. Step 5: Solve for x
    x = 5,651,430,976/34,430
  6. Step 6: Final answer
    x = 164,142.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.