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Finding the Third Proportional to 55,191 and 119,203.50

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Solution

The third proportional to 55,191 and 119,203.50 is: 257,459.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,191 : 119,203.50 = 119,203.50 : x
  2. Step 2: Convert to fraction form
    55,191/119,203.50 = 119,203.50/x
  3. Step 3: Cross multiply
    55,191x = 119,203.50 × 119,203.50
  4. Step 4: Simplify right side
    55,191x = 14,209,474,412.25
  5. Step 5: Solve for x
    x = 14,209,474,412.25/55,191
  6. Step 6: Final answer
    x = 257,459.99

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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.