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Finding the Third Proportional to 63,111 and 137,880

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Solution

The third proportional to 63,111 and 137,880 is: 301,229.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,111 : 137,880 = 137,880 : x
  2. Step 2: Convert to fraction form
    63,111/137,880 = 137,880/x
  3. Step 3: Cross multiply
    63,111x = 137,880 × 137,880
  4. Step 4: Simplify right side
    63,111x = 19,010,894,400
  5. Step 5: Solve for x
    x = 19,010,894,400/63,111
  6. Step 6: Final answer
    x = 301,229.49

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.