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Finding the Third Proportional to 47,562 and 103,332

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Solution

The third proportional to 47,562 and 103,332 is: 224,496.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,562 : 103,332 = 103,332 : x
  2. Step 2: Convert to fraction form
    47,562/103,332 = 103,332/x
  3. Step 3: Cross multiply
    47,562x = 103,332 × 103,332
  4. Step 4: Simplify right side
    47,562x = 10,677,502,224
  5. Step 5: Solve for x
    x = 10,677,502,224/47,562
  6. Step 6: Final answer
    x = 224,496.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.