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Finding the Third Proportional to 136,086 and 291,846

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Solution

The third proportional to 136,086 and 291,846 is: 625,884.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,086 : 291,846 = 291,846 : x
  2. Step 2: Convert to fraction form
    136,086/291,846 = 291,846/x
  3. Step 3: Cross multiply
    136,086x = 291,846 × 291,846
  4. Step 4: Simplify right side
    136,086x = 85,174,087,716
  5. Step 5: Solve for x
    x = 85,174,087,716/136,086
  6. Step 6: Final answer
    x = 625,884.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.