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Finding the Third Proportional to 48,564 and 104,784

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Solution

The third proportional to 48,564 and 104,784 is: 226,086.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,564 : 104,784 = 104,784 : x
  2. Step 2: Convert to fraction form
    48,564/104,784 = 104,784/x
  3. Step 3: Cross multiply
    48,564x = 104,784 × 104,784
  4. Step 4: Simplify right side
    48,564x = 10,979,686,656
  5. Step 5: Solve for x
    x = 10,979,686,656/48,564
  6. Step 6: Final answer
    x = 226,086.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.