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Finding the Third Proportional to 52,416 and 114,672

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Solution

The third proportional to 52,416 and 114,672 is: 250,871.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,416 : 114,672 = 114,672 : x
  2. Step 2: Convert to fraction form
    52,416/114,672 = 114,672/x
  3. Step 3: Cross multiply
    52,416x = 114,672 × 114,672
  4. Step 4: Simplify right side
    52,416x = 13,149,667,584
  5. Step 5: Solve for x
    x = 13,149,667,584/52,416
  6. Step 6: Final answer
    x = 250,871.25

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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.