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Finding the Third Proportional to 58,758.75 and 138,682.13

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Solution

The third proportional to 58,758.75 and 138,682.13 is: 327,316.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,758.75 : 138,682.13 = 138,682.13 : x
  2. Step 2: Convert to fraction form
    58,758.75/138,682.13 = 138,682.13/x
  3. Step 3: Cross multiply
    58,758.75x = 138,682.13 × 138,682.13
  4. Step 4: Simplify right side
    58,758.75x = 19,232,731,794.52
  5. Step 5: Solve for x
    x = 19,232,731,794.52/58,758.75
  6. Step 6: Final answer
    x = 327,316.90

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.