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Finding the Third Proportional to 102,708 and 215,352

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Solution

The third proportional to 102,708 and 215,352 is: 451,537.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,708 : 215,352 = 215,352 : x
  2. Step 2: Convert to fraction form
    102,708/215,352 = 215,352/x
  3. Step 3: Cross multiply
    102,708x = 215,352 × 215,352
  4. Step 4: Simplify right side
    102,708x = 46,376,483,904
  5. Step 5: Solve for x
    x = 46,376,483,904/102,708
  6. Step 6: Final answer
    x = 451,537.21

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.