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Finding the Third Proportional to 124,196 and 270,001

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Solution

The third proportional to 124,196 and 270,001 is: 586,979.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,196 : 270,001 = 270,001 : x
  2. Step 2: Convert to fraction form
    124,196/270,001 = 270,001/x
  3. Step 3: Cross multiply
    124,196x = 270,001 × 270,001
  4. Step 4: Simplify right side
    124,196x = 72,900,540,001
  5. Step 5: Solve for x
    x = 72,900,540,001/124,196
  6. Step 6: Final answer
    x = 586,979.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.