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Finding the Third Proportional to 113,916 and 266,159

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Solution

The third proportional to 113,916 and 266,159 is: 621,867.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,916 : 266,159 = 266,159 : x
  2. Step 2: Convert to fraction form
    113,916/266,159 = 266,159/x
  3. Step 3: Cross multiply
    113,916x = 266,159 × 266,159
  4. Step 4: Simplify right side
    113,916x = 70,840,613,281
  5. Step 5: Solve for x
    x = 70,840,613,281/113,916
  6. Step 6: Final answer
    x = 621,867.11

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.