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Finding the Third Proportional to 114,525 and 173,043

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Solution

The third proportional to 114,525 and 173,043 is: 261,461.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,525 : 173,043 = 173,043 : x
  2. Step 2: Convert to fraction form
    114,525/173,043 = 173,043/x
  3. Step 3: Cross multiply
    114,525x = 173,043 × 173,043
  4. Step 4: Simplify right side
    114,525x = 29,943,879,849
  5. Step 5: Solve for x
    x = 29,943,879,849/114,525
  6. Step 6: Final answer
    x = 261,461.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.