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Finding the Third Proportional to 73,989 and 115,941.75

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Solution

The third proportional to 73,989 and 115,941.75 is: 181,682.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,989 : 115,941.75 = 115,941.75 : x
  2. Step 2: Convert to fraction form
    73,989/115,941.75 = 115,941.75/x
  3. Step 3: Cross multiply
    73,989x = 115,941.75 × 115,941.75
  4. Step 4: Simplify right side
    73,989x = 13,442,489,393.06
  5. Step 5: Solve for x
    x = 13,442,489,393.06/73,989
  6. Step 6: Final answer
    x = 181,682.27

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.