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Finding the Third Proportional to 100,026 and 236,121

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Solution

The third proportional to 100,026 and 236,121 is: 557,386.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,026 : 236,121 = 236,121 : x
  2. Step 2: Convert to fraction form
    100,026/236,121 = 236,121/x
  3. Step 3: Cross multiply
    100,026x = 236,121 × 236,121
  4. Step 4: Simplify right side
    100,026x = 55,753,126,641
  5. Step 5: Solve for x
    x = 55,753,126,641/100,026
  6. Step 6: Final answer
    x = 557,386.35

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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.