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Finding the Third Proportional to 55,264 and 120,896

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Solution

The third proportional to 55,264 and 120,896 is: 264,473.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,264 : 120,896 = 120,896 : x
  2. Step 2: Convert to fraction form
    55,264/120,896 = 120,896/x
  3. Step 3: Cross multiply
    55,264x = 120,896 × 120,896
  4. Step 4: Simplify right side
    55,264x = 14,615,842,816
  5. Step 5: Solve for x
    x = 14,615,842,816/55,264
  6. Step 6: Final answer
    x = 264,473.13

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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.