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Finding the Third Proportional to 53,314.88 and 115,168.50

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Solution

The third proportional to 53,314.88 and 115,168.50 is: 248,782.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,314.88 : 115,168.50 = 115,168.50 : x
  2. Step 2: Convert to fraction form
    53,314.88/115,168.50 = 115,168.50/x
  3. Step 3: Cross multiply
    53,314.88x = 115,168.50 × 115,168.50
  4. Step 4: Simplify right side
    53,314.88x = 13,263,783,392.25
  5. Step 5: Solve for x
    x = 13,263,783,392.25/53,314.88
  6. Step 6: Final answer
    x = 248,782.04

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.