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Finding the Third Proportional to 112,970 and 165,679

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Solution

The third proportional to 112,970 and 165,679 is: 242,980.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,970 : 165,679 = 165,679 : x
  2. Step 2: Convert to fraction form
    112,970/165,679 = 165,679/x
  3. Step 3: Cross multiply
    112,970x = 165,679 × 165,679
  4. Step 4: Simplify right side
    112,970x = 27,449,531,041
  5. Step 5: Solve for x
    x = 27,449,531,041/112,970
  6. Step 6: Final answer
    x = 242,980.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.