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Finding the Third Proportional to 102,159 and 216,604

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Solution

The third proportional to 102,159 and 216,604 is: 459,257.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,159 : 216,604 = 216,604 : x
  2. Step 2: Convert to fraction form
    102,159/216,604 = 216,604/x
  3. Step 3: Cross multiply
    102,159x = 216,604 × 216,604
  4. Step 4: Simplify right side
    102,159x = 46,917,292,816
  5. Step 5: Solve for x
    x = 46,917,292,816/102,159
  6. Step 6: Final answer
    x = 459,257.56

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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.