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Finding the Third Proportional to 48,564 and 106,212

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Solution

The third proportional to 48,564 and 106,212 is: 232,291.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,564 : 106,212 = 106,212 : x
  2. Step 2: Convert to fraction form
    48,564/106,212 = 106,212/x
  3. Step 3: Cross multiply
    48,564x = 106,212 × 106,212
  4. Step 4: Simplify right side
    48,564x = 11,280,988,944
  5. Step 5: Solve for x
    x = 11,280,988,944/48,564
  6. Step 6: Final answer
    x = 232,291.18

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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.