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Finding the Third Proportional to 126,021 and 272,094

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Solution

The third proportional to 126,021 and 272,094 is: 587,482.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,021 : 272,094 = 272,094 : x
  2. Step 2: Convert to fraction form
    126,021/272,094 = 272,094/x
  3. Step 3: Cross multiply
    126,021x = 272,094 × 272,094
  4. Step 4: Simplify right side
    126,021x = 74,035,144,836
  5. Step 5: Solve for x
    x = 74,035,144,836/126,021
  6. Step 6: Final answer
    x = 587,482.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.