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Finding the Third Proportional to 48,573 and 114,498

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Solution

The third proportional to 48,573 and 114,498 is: 269,898.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,573 : 114,498 = 114,498 : x
  2. Step 2: Convert to fraction form
    48,573/114,498 = 114,498/x
  3. Step 3: Cross multiply
    48,573x = 114,498 × 114,498
  4. Step 4: Simplify right side
    48,573x = 13,109,792,004
  5. Step 5: Solve for x
    x = 13,109,792,004/48,573
  6. Step 6: Final answer
    x = 269,898.75

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.