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Finding the Third Proportional to 52,245 and 114,505.88

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Solution

The third proportional to 52,245 and 114,505.88 is: 250,963.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,245 : 114,505.88 = 114,505.88 : x
  2. Step 2: Convert to fraction form
    52,245/114,505.88 = 114,505.88/x
  3. Step 3: Cross multiply
    52,245x = 114,505.88 × 114,505.88
  4. Step 4: Simplify right side
    52,245x = 13,111,595,409.52
  5. Step 5: Solve for x
    x = 13,111,595,409.52/52,245
  6. Step 6: Final answer
    x = 250,963.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.