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Finding the Third Proportional to 43,696 and 102,712

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Solution

The third proportional to 43,696 and 102,712 is: 241,435.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,696 : 102,712 = 102,712 : x
  2. Step 2: Convert to fraction form
    43,696/102,712 = 102,712/x
  3. Step 3: Cross multiply
    43,696x = 102,712 × 102,712
  4. Step 4: Simplify right side
    43,696x = 10,549,754,944
  5. Step 5: Solve for x
    x = 10,549,754,944/43,696
  6. Step 6: Final answer
    x = 241,435.26

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.