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Finding the Third Proportional to 100,026 and 236,117

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Solution

The third proportional to 100,026 and 236,117 is: 557,367.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,026 : 236,117 = 236,117 : x
  2. Step 2: Convert to fraction form
    100,026/236,117 = 236,117/x
  3. Step 3: Cross multiply
    100,026x = 236,117 × 236,117
  4. Step 4: Simplify right side
    100,026x = 55,751,237,689
  5. Step 5: Solve for x
    x = 55,751,237,689/100,026
  6. Step 6: Final answer
    x = 557,367.46

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.