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Finding the Third Proportional to 47,264 and 102,784

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Solution

The third proportional to 47,264 and 102,784 is: 223,522.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,264 : 102,784 = 102,784 : x
  2. Step 2: Convert to fraction form
    47,264/102,784 = 102,784/x
  3. Step 3: Cross multiply
    47,264x = 102,784 × 102,784
  4. Step 4: Simplify right side
    47,264x = 10,564,550,656
  5. Step 5: Solve for x
    x = 10,564,550,656/47,264
  6. Step 6: Final answer
    x = 223,522.14

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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.