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Finding the Third Proportional to 58,287.38 and 120,720.94

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Solution

The third proportional to 58,287.38 and 120,720.94 is: 250,029.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,287.38 : 120,720.94 = 120,720.94 : x
  2. Step 2: Convert to fraction form
    58,287.38/120,720.94 = 120,720.94/x
  3. Step 3: Cross multiply
    58,287.38x = 120,720.94 × 120,720.94
  4. Step 4: Simplify right side
    58,287.38x = 14,573,544,750.88
  5. Step 5: Solve for x
    x = 14,573,544,750.88/58,287.38
  6. Step 6: Final answer
    x = 250,029.18

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.