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Finding the Third Proportional to 58,776.25 and 138,725.75

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Solution

The third proportional to 58,776.25 and 138,725.75 is: 327,425.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,776.25 : 138,725.75 = 138,725.75 : x
  2. Step 2: Convert to fraction form
    58,776.25/138,725.75 = 138,725.75/x
  3. Step 3: Cross multiply
    58,776.25x = 138,725.75 × 138,725.75
  4. Step 4: Simplify right side
    58,776.25x = 19,244,833,713.06
  5. Step 5: Solve for x
    x = 19,244,833,713.06/58,776.25
  6. Step 6: Final answer
    x = 327,425.34

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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.