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Finding the Third Proportional to 69,670 and 106,143

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Solution

The third proportional to 69,670 and 106,143 is: 161,710.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,670 : 106,143 = 106,143 : x
  2. Step 2: Convert to fraction form
    69,670/106,143 = 106,143/x
  3. Step 3: Cross multiply
    69,670x = 106,143 × 106,143
  4. Step 4: Simplify right side
    69,670x = 11,266,336,449
  5. Step 5: Solve for x
    x = 11,266,336,449/69,670
  6. Step 6: Final answer
    x = 161,710.01

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.