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Finding the Third Proportional to 52,576 and 114,368

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Solution

The third proportional to 52,576 and 114,368 is: 248,783.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,576 : 114,368 = 114,368 : x
  2. Step 2: Convert to fraction form
    52,576/114,368 = 114,368/x
  3. Step 3: Cross multiply
    52,576x = 114,368 × 114,368
  4. Step 4: Simplify right side
    52,576x = 13,080,039,424
  5. Step 5: Solve for x
    x = 13,080,039,424/52,576
  6. Step 6: Final answer
    x = 248,783.46

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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.