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Finding the Third Proportional to 71,104 and 153,610

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Solution

The third proportional to 71,104 and 153,610 is: 331,852.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,104 : 153,610 = 153,610 : x
  2. Step 2: Convert to fraction form
    71,104/153,610 = 153,610/x
  3. Step 3: Cross multiply
    71,104x = 153,610 × 153,610
  4. Step 4: Simplify right side
    71,104x = 23,596,032,100
  5. Step 5: Solve for x
    x = 23,596,032,100/71,104
  6. Step 6: Final answer
    x = 331,852.39

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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.