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Finding the Third Proportional to 45,552 and 101,472

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Solution

The third proportional to 45,552 and 101,472 is: 226,039.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,552 : 101,472 = 101,472 : x
  2. Step 2: Convert to fraction form
    45,552/101,472 = 101,472/x
  3. Step 3: Cross multiply
    45,552x = 101,472 × 101,472
  4. Step 4: Simplify right side
    45,552x = 10,296,566,784
  5. Step 5: Solve for x
    x = 10,296,566,784/45,552
  6. Step 6: Final answer
    x = 226,039.84

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.