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Finding the Third Proportional to 119,654 and 174,288

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Solution

The third proportional to 119,654 and 174,288 is: 253,867.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,654 : 174,288 = 174,288 : x
  2. Step 2: Convert to fraction form
    119,654/174,288 = 174,288/x
  3. Step 3: Cross multiply
    119,654x = 174,288 × 174,288
  4. Step 4: Simplify right side
    119,654x = 30,376,306,944
  5. Step 5: Solve for x
    x = 30,376,306,944/119,654
  6. Step 6: Final answer
    x = 253,867.88

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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.