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Finding the Third Proportional to 71,041 and 153,152

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Solution

The third proportional to 71,041 and 153,152 is: 330,168.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,041 : 153,152 = 153,152 : x
  2. Step 2: Convert to fraction form
    71,041/153,152 = 153,152/x
  3. Step 3: Cross multiply
    71,041x = 153,152 × 153,152
  4. Step 4: Simplify right side
    71,041x = 23,455,535,104
  5. Step 5: Solve for x
    x = 23,455,535,104/71,041
  6. Step 6: Final answer
    x = 330,168.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.