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Finding the Third Proportional to 48,856 and 106,784

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Solution

The third proportional to 48,856 and 106,784 is: 233,396.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,856 : 106,784 = 106,784 : x
  2. Step 2: Convert to fraction form
    48,856/106,784 = 106,784/x
  3. Step 3: Cross multiply
    48,856x = 106,784 × 106,784
  4. Step 4: Simplify right side
    48,856x = 11,402,822,656
  5. Step 5: Solve for x
    x = 11,402,822,656/48,856
  6. Step 6: Final answer
    x = 233,396.57

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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.