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Finding the Third Proportional to 124,619 and 186,883

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Solution

The third proportional to 124,619 and 186,883 is: 280,256.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,619 : 186,883 = 186,883 : x
  2. Step 2: Convert to fraction form
    124,619/186,883 = 186,883/x
  3. Step 3: Cross multiply
    124,619x = 186,883 × 186,883
  4. Step 4: Simplify right side
    124,619x = 34,925,255,689
  5. Step 5: Solve for x
    x = 34,925,255,689/124,619
  6. Step 6: Final answer
    x = 280,256.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.