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Finding the Third Proportional to 53,014.50 and 111,132

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Solution

The third proportional to 53,014.50 and 111,132 is: 232,961.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,014.50 : 111,132 = 111,132 : x
  2. Step 2: Convert to fraction form
    53,014.50/111,132 = 111,132/x
  3. Step 3: Cross multiply
    53,014.50x = 111,132 × 111,132
  4. Step 4: Simplify right side
    53,014.50x = 12,350,321,424
  5. Step 5: Solve for x
    x = 12,350,321,424/53,014.50
  6. Step 6: Final answer
    x = 232,961.20

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.