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Finding the Third Proportional to 46,545 and 71,925

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Solution

The third proportional to 46,545 and 71,925 is: 111,144.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,545 : 71,925 = 71,925 : x
  2. Step 2: Convert to fraction form
    46,545/71,925 = 71,925/x
  3. Step 3: Cross multiply
    46,545x = 71,925 × 71,925
  4. Step 4: Simplify right side
    46,545x = 5,173,205,625
  5. Step 5: Solve for x
    x = 5,173,205,625/46,545
  6. Step 6: Final answer
    x = 111,144.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.