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Finding the Third Proportional to 73,852.54 and 117,238.01

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Solution

The third proportional to 73,852.54 and 117,238.01 is: 186,110.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,852.54 : 117,238.01 = 117,238.01 : x
  2. Step 2: Convert to fraction form
    73,852.54/117,238.01 = 117,238.01/x
  3. Step 3: Cross multiply
    73,852.54x = 117,238.01 × 117,238.01
  4. Step 4: Simplify right side
    73,852.54x = 13,744,750,475.84
  5. Step 5: Solve for x
    x = 13,744,750,475.84/73,852.54
  6. Step 6: Final answer
    x = 186,110.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.