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Finding the Third Proportional to 55,507.50 and 119,893.50

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Solution

The third proportional to 55,507.50 and 119,893.50 is: 258,964.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,507.50 : 119,893.50 = 119,893.50 : x
  2. Step 2: Convert to fraction form
    55,507.50/119,893.50 = 119,893.50/x
  3. Step 3: Cross multiply
    55,507.50x = 119,893.50 × 119,893.50
  4. Step 4: Simplify right side
    55,507.50x = 14,374,451,342.25
  5. Step 5: Solve for x
    x = 14,374,451,342.25/55,507.50
  6. Step 6: Final answer
    x = 258,964.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.