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Finding the Third Proportional to 52,800.75 and 112,196.25

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Solution

The third proportional to 52,800.75 and 112,196.25 is: 238,405.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,800.75 : 112,196.25 = 112,196.25 : x
  2. Step 2: Convert to fraction form
    52,800.75/112,196.25 = 112,196.25/x
  3. Step 3: Cross multiply
    52,800.75x = 112,196.25 × 112,196.25
  4. Step 4: Simplify right side
    52,800.75x = 12,587,998,514.06
  5. Step 5: Solve for x
    x = 12,587,998,514.06/52,800.75
  6. Step 6: Final answer
    x = 238,405.68

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.