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Finding the Third Proportional to 53,366 and 112,609

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Solution

The third proportional to 53,366 and 112,609 is: 237,619.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,366 : 112,609 = 112,609 : x
  2. Step 2: Convert to fraction form
    53,366/112,609 = 112,609/x
  3. Step 3: Cross multiply
    53,366x = 112,609 × 112,609
  4. Step 4: Simplify right side
    53,366x = 12,680,786,881
  5. Step 5: Solve for x
    x = 12,680,786,881/53,366
  6. Step 6: Final answer
    x = 237,619.21

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.