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Finding the Third Proportional to 74,896 and 116,952

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Solution

The third proportional to 74,896 and 116,952 is: 182,623.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,896 : 116,952 = 116,952 : x
  2. Step 2: Convert to fraction form
    74,896/116,952 = 116,952/x
  3. Step 3: Cross multiply
    74,896x = 116,952 × 116,952
  4. Step 4: Simplify right side
    74,896x = 13,677,770,304
  5. Step 5: Solve for x
    x = 13,677,770,304/74,896
  6. Step 6: Final answer
    x = 182,623.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.