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Finding the Third Proportional to 102,158 and 216,603

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Solution

The third proportional to 102,158 and 216,603 is: 459,257.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,158 : 216,603 = 216,603 : x
  2. Step 2: Convert to fraction form
    102,158/216,603 = 216,603/x
  3. Step 3: Cross multiply
    102,158x = 216,603 × 216,603
  4. Step 4: Simplify right side
    102,158x = 46,916,859,609
  5. Step 5: Solve for x
    x = 46,916,859,609/102,158
  6. Step 6: Final answer
    x = 459,257.81

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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.