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Finding the Third Proportional to 52,326 and 114,432.75

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Solution

The third proportional to 52,326 and 114,432.75 is: 250,255.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,326 : 114,432.75 = 114,432.75 : x
  2. Step 2: Convert to fraction form
    52,326/114,432.75 = 114,432.75/x
  3. Step 3: Cross multiply
    52,326x = 114,432.75 × 114,432.75
  4. Step 4: Simplify right side
    52,326x = 13,094,854,272.56
  5. Step 5: Solve for x
    x = 13,094,854,272.56/52,326
  6. Step 6: Final answer
    x = 250,255.21

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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.