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Finding the Third Proportional to 58,329.56 and 127,958.06

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Solution

The third proportional to 58,329.56 and 127,958.06 is: 280,702.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,329.56 : 127,958.06 = 127,958.06 : x
  2. Step 2: Convert to fraction form
    58,329.56/127,958.06 = 127,958.06/x
  3. Step 3: Cross multiply
    58,329.56x = 127,958.06 × 127,958.06
  4. Step 4: Simplify right side
    58,329.56x = 16,373,265,758.75
  5. Step 5: Solve for x
    x = 16,373,265,758.75/58,329.56
  6. Step 6: Final answer
    x = 280,702.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.