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Finding the Third Proportional to 39,150 and 72,010

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Solution

The third proportional to 39,150 and 72,010 is: 132,450.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,150 : 72,010 = 72,010 : x
  2. Step 2: Convert to fraction form
    39,150/72,010 = 72,010/x
  3. Step 3: Cross multiply
    39,150x = 72,010 × 72,010
  4. Step 4: Simplify right side
    39,150x = 5,185,440,100
  5. Step 5: Solve for x
    x = 5,185,440,100/39,150
  6. Step 6: Final answer
    x = 132,450.58

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.