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Finding the Third Proportional to 72,194 and 115,203

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Solution

The third proportional to 72,194 and 115,203 is: 183,834.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,194 : 115,203 = 115,203 : x
  2. Step 2: Convert to fraction form
    72,194/115,203 = 115,203/x
  3. Step 3: Cross multiply
    72,194x = 115,203 × 115,203
  4. Step 4: Simplify right side
    72,194x = 13,271,731,209
  5. Step 5: Solve for x
    x = 13,271,731,209/72,194
  6. Step 6: Final answer
    x = 183,834.27

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.