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Finding the Third Proportional to 135,037 and 291,008

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Solution

The third proportional to 135,037 and 291,008 is: 627,129.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,037 : 291,008 = 291,008 : x
  2. Step 2: Convert to fraction form
    135,037/291,008 = 291,008/x
  3. Step 3: Cross multiply
    135,037x = 291,008 × 291,008
  4. Step 4: Simplify right side
    135,037x = 84,685,656,064
  5. Step 5: Solve for x
    x = 84,685,656,064/135,037
  6. Step 6: Final answer
    x = 627,129.28

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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.