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Finding the Third Proportional to 49,372.50 and 108,111

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Solution

The third proportional to 49,372.50 and 108,111 is: 236,730.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,372.50 : 108,111 = 108,111 : x
  2. Step 2: Convert to fraction form
    49,372.50/108,111 = 108,111/x
  3. Step 3: Cross multiply
    49,372.50x = 108,111 × 108,111
  4. Step 4: Simplify right side
    49,372.50x = 11,687,988,321
  5. Step 5: Solve for x
    x = 11,687,988,321/49,372.50
  6. Step 6: Final answer
    x = 236,730.74

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.