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Finding the Third Proportional to 119,769.75 and 179,658

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Solution

The third proportional to 119,769.75 and 179,658 is: 269,492.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,769.75 : 179,658 = 179,658 : x
  2. Step 2: Convert to fraction form
    119,769.75/179,658 = 179,658/x
  3. Step 3: Cross multiply
    119,769.75x = 179,658 × 179,658
  4. Step 4: Simplify right side
    119,769.75x = 32,276,996,964
  5. Step 5: Solve for x
    x = 32,276,996,964/119,769.75
  6. Step 6: Final answer
    x = 269,492.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.