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Finding the Third Proportional to 72,706 and 115,971

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Solution

The third proportional to 72,706 and 115,971 is: 184,981.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,706 : 115,971 = 115,971 : x
  2. Step 2: Convert to fraction form
    72,706/115,971 = 115,971/x
  3. Step 3: Cross multiply
    72,706x = 115,971 × 115,971
  4. Step 4: Simplify right side
    72,706x = 13,449,272,841
  5. Step 5: Solve for x
    x = 13,449,272,841/72,706
  6. Step 6: Final answer
    x = 184,981.61

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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.