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Finding the Third Proportional to 52,248 and 111,152

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Solution

The third proportional to 52,248 and 111,152 is: 236,463.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,248 : 111,152 = 111,152 : x
  2. Step 2: Convert to fraction form
    52,248/111,152 = 111,152/x
  3. Step 3: Cross multiply
    52,248x = 111,152 × 111,152
  4. Step 4: Simplify right side
    52,248x = 12,354,767,104
  5. Step 5: Solve for x
    x = 12,354,767,104/52,248
  6. Step 6: Final answer
    x = 236,463.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.