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Finding the Third Proportional to 50,973.75 and 118,513.13

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Solution

The third proportional to 50,973.75 and 118,513.13 is: 275,541.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,973.75 : 118,513.13 = 118,513.13 : x
  2. Step 2: Convert to fraction form
    50,973.75/118,513.13 = 118,513.13/x
  3. Step 3: Cross multiply
    50,973.75x = 118,513.13 × 118,513.13
  4. Step 4: Simplify right side
    50,973.75x = 14,045,360,797.27
  5. Step 5: Solve for x
    x = 14,045,360,797.27/50,973.75
  6. Step 6: Final answer
    x = 275,541.05

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.