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Finding the Third Proportional to 73,032 and 115,544.50

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Solution

The third proportional to 73,032 and 115,544.50 is: 182,803.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,032 : 115,544.50 = 115,544.50 : x
  2. Step 2: Convert to fraction form
    73,032/115,544.50 = 115,544.50/x
  3. Step 3: Cross multiply
    73,032x = 115,544.50 × 115,544.50
  4. Step 4: Simplify right side
    73,032x = 13,350,531,480.25
  5. Step 5: Solve for x
    x = 13,350,531,480.25/73,032
  6. Step 6: Final answer
    x = 182,803.86

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.