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Finding the Third Proportional to 58,303.13 and 120,286.69

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Solution

The third proportional to 58,303.13 and 120,286.69 is: 248,166.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,303.13 : 120,286.69 = 120,286.69 : x
  2. Step 2: Convert to fraction form
    58,303.13/120,286.69 = 120,286.69/x
  3. Step 3: Cross multiply
    58,303.13x = 120,286.69 × 120,286.69
  4. Step 4: Simplify right side
    58,303.13x = 14,468,887,189.72
  5. Step 5: Solve for x
    x = 14,468,887,189.72/58,303.13
  6. Step 6: Final answer
    x = 248,166.58

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.