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Finding the Third Proportional to 73,032 and 117,580

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Solution

The third proportional to 73,032 and 117,580 is: 189,301.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,032 : 117,580 = 117,580 : x
  2. Step 2: Convert to fraction form
    73,032/117,580 = 117,580/x
  3. Step 3: Cross multiply
    73,032x = 117,580 × 117,580
  4. Step 4: Simplify right side
    73,032x = 13,825,056,400
  5. Step 5: Solve for x
    x = 13,825,056,400/73,032
  6. Step 6: Final answer
    x = 189,301.35

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.