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Finding the Third Proportional to 79,740 and 167,748

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Solution

The third proportional to 79,740 and 167,748 is: 352,889.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,740 : 167,748 = 167,748 : x
  2. Step 2: Convert to fraction form
    79,740/167,748 = 167,748/x
  3. Step 3: Cross multiply
    79,740x = 167,748 × 167,748
  4. Step 4: Simplify right side
    79,740x = 28,139,391,504
  5. Step 5: Solve for x
    x = 28,139,391,504/79,740
  6. Step 6: Final answer
    x = 352,889.28

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.