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Finding the Third Proportional to 72,838 and 115,822

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Solution

The third proportional to 72,838 and 115,822 is: 184,172.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,838 : 115,822 = 115,822 : x
  2. Step 2: Convert to fraction form
    72,838/115,822 = 115,822/x
  3. Step 3: Cross multiply
    72,838x = 115,822 × 115,822
  4. Step 4: Simplify right side
    72,838x = 13,414,735,684
  5. Step 5: Solve for x
    x = 13,414,735,684/72,838
  6. Step 6: Final answer
    x = 184,172.21

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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.