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Finding the Third Proportional to 58,842.56 and 120,813.75

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Solution

The third proportional to 58,842.56 and 120,813.75 is: 248,051.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,842.56 : 120,813.75 = 120,813.75 : x
  2. Step 2: Convert to fraction form
    58,842.56/120,813.75 = 120,813.75/x
  3. Step 3: Cross multiply
    58,842.56x = 120,813.75 × 120,813.75
  4. Step 4: Simplify right side
    58,842.56x = 14,595,962,189.06
  5. Step 5: Solve for x
    x = 14,595,962,189.06/58,842.56
  6. Step 6: Final answer
    x = 248,051.10

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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.