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Finding the Third Proportional to 102,513 and 221,875

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Solution

The third proportional to 102,513 and 221,875 is: 480,217.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,513 : 221,875 = 221,875 : x
  2. Step 2: Convert to fraction form
    102,513/221,875 = 221,875/x
  3. Step 3: Cross multiply
    102,513x = 221,875 × 221,875
  4. Step 4: Simplify right side
    102,513x = 49,228,515,625
  5. Step 5: Solve for x
    x = 49,228,515,625/102,513
  6. Step 6: Final answer
    x = 480,217.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.