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Finding the Third Proportional to 67,670 and 101,235

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Solution

The third proportional to 67,670 and 101,235 is: 151,448.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,670 : 101,235 = 101,235 : x
  2. Step 2: Convert to fraction form
    67,670/101,235 = 101,235/x
  3. Step 3: Cross multiply
    67,670x = 101,235 × 101,235
  4. Step 4: Simplify right side
    67,670x = 10,248,525,225
  5. Step 5: Solve for x
    x = 10,248,525,225/67,670
  6. Step 6: Final answer
    x = 151,448.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.