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Finding the Third Proportional to 52,270 and 110,300

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Solution

The third proportional to 52,270 and 110,300 is: 232,754.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,270 : 110,300 = 110,300 : x
  2. Step 2: Convert to fraction form
    52,270/110,300 = 110,300/x
  3. Step 3: Cross multiply
    52,270x = 110,300 × 110,300
  4. Step 4: Simplify right side
    52,270x = 12,166,090,000
  5. Step 5: Solve for x
    x = 12,166,090,000/52,270
  6. Step 6: Final answer
    x = 232,754.74

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.