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Finding the Third Proportional to 55,148 and 118,552

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Solution

The third proportional to 55,148 and 118,552 is: 254,851.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,148 : 118,552 = 118,552 : x
  2. Step 2: Convert to fraction form
    55,148/118,552 = 118,552/x
  3. Step 3: Cross multiply
    55,148x = 118,552 × 118,552
  4. Step 4: Simplify right side
    55,148x = 14,054,576,704
  5. Step 5: Solve for x
    x = 14,054,576,704/55,148
  6. Step 6: Final answer
    x = 254,851.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.