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Finding the Third Proportional to 116,251 and 164,541

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Solution

The third proportional to 116,251 and 164,541 is: 232,890.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,251 : 164,541 = 164,541 : x
  2. Step 2: Convert to fraction form
    116,251/164,541 = 164,541/x
  3. Step 3: Cross multiply
    116,251x = 164,541 × 164,541
  4. Step 4: Simplify right side
    116,251x = 27,073,740,681
  5. Step 5: Solve for x
    x = 27,073,740,681/116,251
  6. Step 6: Final answer
    x = 232,890.39

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.