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Finding the Third Proportional to 81,458 and 119,271

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Solution

The third proportional to 81,458 and 119,271 is: 174,636.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,458 : 119,271 = 119,271 : x
  2. Step 2: Convert to fraction form
    81,458/119,271 = 119,271/x
  3. Step 3: Cross multiply
    81,458x = 119,271 × 119,271
  4. Step 4: Simplify right side
    81,458x = 14,225,571,441
  5. Step 5: Solve for x
    x = 14,225,571,441/81,458
  6. Step 6: Final answer
    x = 174,636.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.