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Finding the Third Proportional to 51,998 and 112,636

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Solution

The third proportional to 51,998 and 112,636 is: 243,987.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,998 : 112,636 = 112,636 : x
  2. Step 2: Convert to fraction form
    51,998/112,636 = 112,636/x
  3. Step 3: Cross multiply
    51,998x = 112,636 × 112,636
  4. Step 4: Simplify right side
    51,998x = 12,686,868,496
  5. Step 5: Solve for x
    x = 12,686,868,496/51,998
  6. Step 6: Final answer
    x = 243,987.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.