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Finding the Third Proportional to 135,037.13 and 291,008.25

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Solution

The third proportional to 135,037.13 and 291,008.25 is: 627,129.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,037.13 : 291,008.25 = 291,008.25 : x
  2. Step 2: Convert to fraction form
    135,037.13/291,008.25 = 291,008.25/x
  3. Step 3: Cross multiply
    135,037.13x = 291,008.25 × 291,008.25
  4. Step 4: Simplify right side
    135,037.13x = 84,685,801,568.06
  5. Step 5: Solve for x
    x = 84,685,801,568.06/135,037.13
  6. Step 6: Final answer
    x = 627,129.77

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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.