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Finding the Third Proportional to 119,080 and 174,036

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Solution

The third proportional to 119,080 and 174,036 is: 254,354.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,080 : 174,036 = 174,036 : x
  2. Step 2: Convert to fraction form
    119,080/174,036 = 174,036/x
  3. Step 3: Cross multiply
    119,080x = 174,036 × 174,036
  4. Step 4: Simplify right side
    119,080x = 30,288,529,296
  5. Step 5: Solve for x
    x = 30,288,529,296/119,080
  6. Step 6: Final answer
    x = 254,354.46

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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.