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Finding the Third Proportional to 44,775 and 97,326

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Solution

The third proportional to 44,775 and 97,326 is: 211,554.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,775 : 97,326 = 97,326 : x
  2. Step 2: Convert to fraction form
    44,775/97,326 = 97,326/x
  3. Step 3: Cross multiply
    44,775x = 97,326 × 97,326
  4. Step 4: Simplify right side
    44,775x = 9,472,350,276
  5. Step 5: Solve for x
    x = 9,472,350,276/44,775
  6. Step 6: Final answer
    x = 211,554.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.