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Finding the Third Proportional to 119,952 and 251,208

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Solution

The third proportional to 119,952 and 251,208 is: 526,089.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,952 : 251,208 = 251,208 : x
  2. Step 2: Convert to fraction form
    119,952/251,208 = 251,208/x
  3. Step 3: Cross multiply
    119,952x = 251,208 × 251,208
  4. Step 4: Simplify right side
    119,952x = 63,105,459,264
  5. Step 5: Solve for x
    x = 63,105,459,264/119,952
  6. Step 6: Final answer
    x = 526,089.26

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.