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Finding the Third Proportional to 52,809.75 and 109,973.25

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Solution

The third proportional to 52,809.75 and 109,973.25 is: 229,012.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,809.75 : 109,973.25 = 109,973.25 : x
  2. Step 2: Convert to fraction form
    52,809.75/109,973.25 = 109,973.25/x
  3. Step 3: Cross multiply
    52,809.75x = 109,973.25 × 109,973.25
  4. Step 4: Simplify right side
    52,809.75x = 12,094,115,715.56
  5. Step 5: Solve for x
    x = 12,094,115,715.56/52,809.75
  6. Step 6: Final answer
    x = 229,012.93

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.