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Finding the Third Proportional to 55,005.75 and 120,530.25

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Solution

The third proportional to 55,005.75 and 120,530.25 is: 264,109.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,005.75 : 120,530.25 = 120,530.25 : x
  2. Step 2: Convert to fraction form
    55,005.75/120,530.25 = 120,530.25/x
  3. Step 3: Cross multiply
    55,005.75x = 120,530.25 × 120,530.25
  4. Step 4: Simplify right side
    55,005.75x = 14,527,541,165.06
  5. Step 5: Solve for x
    x = 14,527,541,165.06/55,005.75
  6. Step 6: Final answer
    x = 264,109.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.