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Finding the Third Proportional to 56,654 and 116,952

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Solution

The third proportional to 56,654 and 116,952 is: 241,426.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,654 : 116,952 = 116,952 : x
  2. Step 2: Convert to fraction form
    56,654/116,952 = 116,952/x
  3. Step 3: Cross multiply
    56,654x = 116,952 × 116,952
  4. Step 4: Simplify right side
    56,654x = 13,677,770,304
  5. Step 5: Solve for x
    x = 13,677,770,304/56,654
  6. Step 6: Final answer
    x = 241,426.38

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.