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Finding the Third Proportional to 47,076 and 103,224

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Solution

The third proportional to 47,076 and 103,224 is: 226,340.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,076 : 103,224 = 103,224 : x
  2. Step 2: Convert to fraction form
    47,076/103,224 = 103,224/x
  3. Step 3: Cross multiply
    47,076x = 103,224 × 103,224
  4. Step 4: Simplify right side
    47,076x = 10,655,194,176
  5. Step 5: Solve for x
    x = 10,655,194,176/47,076
  6. Step 6: Final answer
    x = 226,340.26

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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.