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Finding the Third Proportional to 52,610 and 111,791

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Solution

The third proportional to 52,610 and 111,791 is: 237,544.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,610 : 111,791 = 111,791 : x
  2. Step 2: Convert to fraction form
    52,610/111,791 = 111,791/x
  3. Step 3: Cross multiply
    52,610x = 111,791 × 111,791
  4. Step 4: Simplify right side
    52,610x = 12,497,227,681
  5. Step 5: Solve for x
    x = 12,497,227,681/52,610
  6. Step 6: Final answer
    x = 237,544.72

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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.