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Finding the Third Proportional to 57,584 and 125,004

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Solution

The third proportional to 57,584 and 125,004 is: 271,360.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,584 : 125,004 = 125,004 : x
  2. Step 2: Convert to fraction form
    57,584/125,004 = 125,004/x
  3. Step 3: Cross multiply
    57,584x = 125,004 × 125,004
  4. Step 4: Simplify right side
    57,584x = 15,626,000,016
  5. Step 5: Solve for x
    x = 15,626,000,016/57,584
  6. Step 6: Final answer
    x = 271,360.10

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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.