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Finding the Third Proportional to 58,496.63 and 119,759.63

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Solution

The third proportional to 58,496.63 and 119,759.63 is: 245,182.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,496.63 : 119,759.63 = 119,759.63 : x
  2. Step 2: Convert to fraction form
    58,496.63/119,759.63 = 119,759.63/x
  3. Step 3: Cross multiply
    58,496.63x = 119,759.63 × 119,759.63
  4. Step 4: Simplify right side
    58,496.63x = 14,342,367,780.14
  5. Step 5: Solve for x
    x = 14,342,367,780.14/58,496.63
  6. Step 6: Final answer
    x = 245,182.83

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.