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Finding the Third Proportional to 47,620 and 103,712

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Solution

The third proportional to 47,620 and 103,712 is: 225,875.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,620 : 103,712 = 103,712 : x
  2. Step 2: Convert to fraction form
    47,620/103,712 = 103,712/x
  3. Step 3: Cross multiply
    47,620x = 103,712 × 103,712
  4. Step 4: Simplify right side
    47,620x = 10,756,178,944
  5. Step 5: Solve for x
    x = 10,756,178,944/47,620
  6. Step 6: Final answer
    x = 225,875.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.