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Finding the Third Proportional to 47,348 and 103,604

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Solution

The third proportional to 47,348 and 103,604 is: 226,699.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,348 : 103,604 = 103,604 : x
  2. Step 2: Convert to fraction form
    47,348/103,604 = 103,604/x
  3. Step 3: Cross multiply
    47,348x = 103,604 × 103,604
  4. Step 4: Simplify right side
    47,348x = 10,733,788,816
  5. Step 5: Solve for x
    x = 10,733,788,816/47,348
  6. Step 6: Final answer
    x = 226,699.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.