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Finding the Third Proportional to 53,352 and 76,245

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Solution

The third proportional to 53,352 and 76,245 is: 108,961.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,352 : 76,245 = 76,245 : x
  2. Step 2: Convert to fraction form
    53,352/76,245 = 76,245/x
  3. Step 3: Cross multiply
    53,352x = 76,245 × 76,245
  4. Step 4: Simplify right side
    53,352x = 5,813,300,025
  5. Step 5: Solve for x
    x = 5,813,300,025/53,352
  6. Step 6: Final answer
    x = 108,961.24

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.