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Finding the Third Proportional to 53,352 and 114,980

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Solution

The third proportional to 53,352 and 114,980 is: 247,795.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,352 : 114,980 = 114,980 : x
  2. Step 2: Convert to fraction form
    53,352/114,980 = 114,980/x
  3. Step 3: Cross multiply
    53,352x = 114,980 × 114,980
  4. Step 4: Simplify right side
    53,352x = 13,220,400,400
  5. Step 5: Solve for x
    x = 13,220,400,400/53,352
  6. Step 6: Final answer
    x = 247,795.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.