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Finding the Third Proportional to 48,308 and 102,430

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Solution

The third proportional to 48,308 and 102,430 is: 217,187.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,308 : 102,430 = 102,430 : x
  2. Step 2: Convert to fraction form
    48,308/102,430 = 102,430/x
  3. Step 3: Cross multiply
    48,308x = 102,430 × 102,430
  4. Step 4: Simplify right side
    48,308x = 10,491,904,900
  5. Step 5: Solve for x
    x = 10,491,904,900/48,308
  6. Step 6: Final answer
    x = 217,187.73

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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.