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Finding the Third Proportional to 55,724 and 121,612

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Solution

The third proportional to 55,724 and 121,612 is: 265,405.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,724 : 121,612 = 121,612 : x
  2. Step 2: Convert to fraction form
    55,724/121,612 = 121,612/x
  3. Step 3: Cross multiply
    55,724x = 121,612 × 121,612
  4. Step 4: Simplify right side
    55,724x = 14,789,478,544
  5. Step 5: Solve for x
    x = 14,789,478,544/55,724
  6. Step 6: Final answer
    x = 265,405.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.