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Finding the Third Proportional to 127,726 and 170,841

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Solution

The third proportional to 127,726 and 170,841 is: 228,509.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,726 : 170,841 = 170,841 : x
  2. Step 2: Convert to fraction form
    127,726/170,841 = 170,841/x
  3. Step 3: Cross multiply
    127,726x = 170,841 × 170,841
  4. Step 4: Simplify right side
    127,726x = 29,186,647,281
  5. Step 5: Solve for x
    x = 29,186,647,281/127,726
  6. Step 6: Final answer
    x = 228,509.84

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.