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Finding the Third Proportional to 58,241.69 and 120,199.57

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Solution

The third proportional to 58,241.69 and 120,199.57 is: 248,068.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,241.69 : 120,199.57 = 120,199.57 : x
  2. Step 2: Convert to fraction form
    58,241.69/120,199.57 = 120,199.57/x
  3. Step 3: Cross multiply
    58,241.69x = 120,199.57 × 120,199.57
  4. Step 4: Simplify right side
    58,241.69x = 14,447,936,703.31
  5. Step 5: Solve for x
    x = 14,447,936,703.31/58,241.69
  6. Step 6: Final answer
    x = 248,068.64

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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.