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Finding the Third Proportional to 113,895 and 272,021

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Solution

The third proportional to 113,895 and 272,021 is: 649,681.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,895 : 272,021 = 272,021 : x
  2. Step 2: Convert to fraction form
    113,895/272,021 = 272,021/x
  3. Step 3: Cross multiply
    113,895x = 272,021 × 272,021
  4. Step 4: Simplify right side
    113,895x = 73,995,424,441
  5. Step 5: Solve for x
    x = 73,995,424,441/113,895
  6. Step 6: Final answer
    x = 649,681.06

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.