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Finding the Third Proportional to 124,764 and 186,984

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Solution

The third proportional to 124,764 and 186,984 is: 280,233.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,764 : 186,984 = 186,984 : x
  2. Step 2: Convert to fraction form
    124,764/186,984 = 186,984/x
  3. Step 3: Cross multiply
    124,764x = 186,984 × 186,984
  4. Step 4: Simplify right side
    124,764x = 34,963,016,256
  5. Step 5: Solve for x
    x = 34,963,016,256/124,764
  6. Step 6: Final answer
    x = 280,233.21

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