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Finding the Third Proportional to 72,045 and 115,755.75

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Solution

The third proportional to 72,045 and 115,755.75 is: 185,986.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,045 : 115,755.75 = 115,755.75 : x
  2. Step 2: Convert to fraction form
    72,045/115,755.75 = 115,755.75/x
  3. Step 3: Cross multiply
    72,045x = 115,755.75 × 115,755.75
  4. Step 4: Simplify right side
    72,045x = 13,399,393,658.06
  5. Step 5: Solve for x
    x = 13,399,393,658.06/72,045
  6. Step 6: Final answer
    x = 185,986.45

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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.