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Finding the Third Proportional to 52,046 and 110,576

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Solution

The third proportional to 52,046 and 110,576 is: 234,927.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,046 : 110,576 = 110,576 : x
  2. Step 2: Convert to fraction form
    52,046/110,576 = 110,576/x
  3. Step 3: Cross multiply
    52,046x = 110,576 × 110,576
  4. Step 4: Simplify right side
    52,046x = 12,227,051,776
  5. Step 5: Solve for x
    x = 12,227,051,776/52,046
  6. Step 6: Final answer
    x = 234,927.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.