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Finding the Third Proportional to 52,788.75 and 112,054.50

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Solution

The third proportional to 52,788.75 and 112,054.50 is: 237,857.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,788.75 : 112,054.50 = 112,054.50 : x
  2. Step 2: Convert to fraction form
    52,788.75/112,054.50 = 112,054.50/x
  3. Step 3: Cross multiply
    52,788.75x = 112,054.50 × 112,054.50
  4. Step 4: Simplify right side
    52,788.75x = 12,556,210,970.25
  5. Step 5: Solve for x
    x = 12,556,210,970.25/52,788.75
  6. Step 6: Final answer
    x = 237,857.71

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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.