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Finding the Third Proportional to 50,133 and 108,973.50

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Solution

The third proportional to 50,133 and 108,973.50 is: 236,874.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,133 : 108,973.50 = 108,973.50 : x
  2. Step 2: Convert to fraction form
    50,133/108,973.50 = 108,973.50/x
  3. Step 3: Cross multiply
    50,133x = 108,973.50 × 108,973.50
  4. Step 4: Simplify right side
    50,133x = 11,875,223,702.25
  5. Step 5: Solve for x
    x = 11,875,223,702.25/50,133
  6. Step 6: Final answer
    x = 236,874.39

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.