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Finding the Third Proportional to 125,290 and 273,190

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Solution

The third proportional to 125,290 and 273,190 is: 595,680.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,290 : 273,190 = 273,190 : x
  2. Step 2: Convert to fraction form
    125,290/273,190 = 273,190/x
  3. Step 3: Cross multiply
    125,290x = 273,190 × 273,190
  4. Step 4: Simplify right side
    125,290x = 74,632,776,100
  5. Step 5: Solve for x
    x = 74,632,776,100/125,290
  6. Step 6: Final answer
    x = 595,680.23

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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.