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Finding the Third Proportional to 68,670 and 102,937

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Solution

The third proportional to 68,670 and 102,937 is: 154,303.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,670 : 102,937 = 102,937 : x
  2. Step 2: Convert to fraction form
    68,670/102,937 = 102,937/x
  3. Step 3: Cross multiply
    68,670x = 102,937 × 102,937
  4. Step 4: Simplify right side
    68,670x = 10,596,025,969
  5. Step 5: Solve for x
    x = 10,596,025,969/68,670
  6. Step 6: Final answer
    x = 154,303.57

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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.