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Finding the Third Proportional to 75,584 and 164,984

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Solution

The third proportional to 75,584 and 164,984 is: 360,125.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,584 : 164,984 = 164,984 : x
  2. Step 2: Convert to fraction form
    75,584/164,984 = 164,984/x
  3. Step 3: Cross multiply
    75,584x = 164,984 × 164,984
  4. Step 4: Simplify right side
    75,584x = 27,219,720,256
  5. Step 5: Solve for x
    x = 27,219,720,256/75,584
  6. Step 6: Final answer
    x = 360,125.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.