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Finding the Third Proportional to 135,034.59 and 291,003.75

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Solution

The third proportional to 135,034.59 and 291,003.75 is: 627,122.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,034.59 : 291,003.75 = 291,003.75 : x
  2. Step 2: Convert to fraction form
    135,034.59/291,003.75 = 291,003.75/x
  3. Step 3: Cross multiply
    135,034.59x = 291,003.75 × 291,003.75
  4. Step 4: Simplify right side
    135,034.59x = 84,683,182,514.06
  5. Step 5: Solve for x
    x = 84,683,182,514.06/135,034.59
  6. Step 6: Final answer
    x = 627,122.13

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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.