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Finding the Third Proportional to 49,216 and 106,784

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Solution

The third proportional to 49,216 and 106,784 is: 231,689.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,216 : 106,784 = 106,784 : x
  2. Step 2: Convert to fraction form
    49,216/106,784 = 106,784/x
  3. Step 3: Cross multiply
    49,216x = 106,784 × 106,784
  4. Step 4: Simplify right side
    49,216x = 11,402,822,656
  5. Step 5: Solve for x
    x = 11,402,822,656/49,216
  6. Step 6: Final answer
    x = 231,689.34

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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.