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Finding the Third Proportional to 48,483 and 102,835

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Solution

The third proportional to 48,483 and 102,835 is: 218,118.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,483 : 102,835 = 102,835 : x
  2. Step 2: Convert to fraction form
    48,483/102,835 = 102,835/x
  3. Step 3: Cross multiply
    48,483x = 102,835 × 102,835
  4. Step 4: Simplify right side
    48,483x = 10,575,037,225
  5. Step 5: Solve for x
    x = 10,575,037,225/48,483
  6. Step 6: Final answer
    x = 218,118.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.