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Finding the Third Proportional to 55,864 and 121,592

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Solution

The third proportional to 55,864 and 121,592 is: 264,653.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,864 : 121,592 = 121,592 : x
  2. Step 2: Convert to fraction form
    55,864/121,592 = 121,592/x
  3. Step 3: Cross multiply
    55,864x = 121,592 × 121,592
  4. Step 4: Simplify right side
    55,864x = 14,784,614,464
  5. Step 5: Solve for x
    x = 14,784,614,464/55,864
  6. Step 6: Final answer
    x = 264,653.70

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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.