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Finding the Third Proportional to 52,566 and 114,636

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Solution

The third proportional to 52,566 and 114,636 is: 249,998.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,566 : 114,636 = 114,636 : x
  2. Step 2: Convert to fraction form
    52,566/114,636 = 114,636/x
  3. Step 3: Cross multiply
    52,566x = 114,636 × 114,636
  4. Step 4: Simplify right side
    52,566x = 13,141,412,496
  5. Step 5: Solve for x
    x = 13,141,412,496/52,566
  6. Step 6: Final answer
    x = 249,998.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.