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Finding the Third Proportional to 124,584 and 179,084

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Solution

The third proportional to 124,584 and 179,084 is: 257,425.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,584 : 179,084 = 179,084 : x
  2. Step 2: Convert to fraction form
    124,584/179,084 = 179,084/x
  3. Step 3: Cross multiply
    124,584x = 179,084 × 179,084
  4. Step 4: Simplify right side
    124,584x = 32,071,079,056
  5. Step 5: Solve for x
    x = 32,071,079,056/124,584
  6. Step 6: Final answer
    x = 257,425.34

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.