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Finding the Third Proportional to 45,326 and 97,670

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Solution

The third proportional to 45,326 and 97,670 is: 210,462.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,326 : 97,670 = 97,670 : x
  2. Step 2: Convert to fraction form
    45,326/97,670 = 97,670/x
  3. Step 3: Cross multiply
    45,326x = 97,670 × 97,670
  4. Step 4: Simplify right side
    45,326x = 9,539,428,900
  5. Step 5: Solve for x
    x = 9,539,428,900/45,326
  6. Step 6: Final answer
    x = 210,462.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.