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Finding the Third Proportional to 46,128 and 73,425

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Solution

The third proportional to 46,128 and 73,425 is: 116,875.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,128 : 73,425 = 73,425 : x
  2. Step 2: Convert to fraction form
    46,128/73,425 = 73,425/x
  3. Step 3: Cross multiply
    46,128x = 73,425 × 73,425
  4. Step 4: Simplify right side
    46,128x = 5,391,230,625
  5. Step 5: Solve for x
    x = 5,391,230,625/46,128
  6. Step 6: Final answer
    x = 116,875.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.