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Finding the Third Proportional to 52,548 and 116,772

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Solution

The third proportional to 52,548 and 116,772 is: 259,490.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,548 : 116,772 = 116,772 : x
  2. Step 2: Convert to fraction form
    52,548/116,772 = 116,772/x
  3. Step 3: Cross multiply
    52,548x = 116,772 × 116,772
  4. Step 4: Simplify right side
    52,548x = 13,635,699,984
  5. Step 5: Solve for x
    x = 13,635,699,984/52,548
  6. Step 6: Final answer
    x = 259,490.37

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.