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Finding the Third Proportional to 37,240 and 72,610

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Solution

The third proportional to 37,240 and 72,610 is: 141,573.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,240 : 72,610 = 72,610 : x
  2. Step 2: Convert to fraction form
    37,240/72,610 = 72,610/x
  3. Step 3: Cross multiply
    37,240x = 72,610 × 72,610
  4. Step 4: Simplify right side
    37,240x = 5,272,212,100
  5. Step 5: Solve for x
    x = 5,272,212,100/37,240
  6. Step 6: Final answer
    x = 141,573.90

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.