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Finding the Third Proportional to 127,026 and 266,850

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Solution

The third proportional to 127,026 and 266,850 is: 560,585.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,026 : 266,850 = 266,850 : x
  2. Step 2: Convert to fraction form
    127,026/266,850 = 266,850/x
  3. Step 3: Cross multiply
    127,026x = 266,850 × 266,850
  4. Step 4: Simplify right side
    127,026x = 71,208,922,500
  5. Step 5: Solve for x
    x = 71,208,922,500/127,026
  6. Step 6: Final answer
    x = 560,585.41

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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.