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Finding the Third Proportional to 71,014 and 154,739.50

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Solution

The third proportional to 71,014 and 154,739.50 is: 337,177.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,014 : 154,739.50 = 154,739.50 : x
  2. Step 2: Convert to fraction form
    71,014/154,739.50 = 154,739.50/x
  3. Step 3: Cross multiply
    71,014x = 154,739.50 × 154,739.50
  4. Step 4: Simplify right side
    71,014x = 23,944,312,860.25
  5. Step 5: Solve for x
    x = 23,944,312,860.25/71,014
  6. Step 6: Final answer
    x = 337,177.36

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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.