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Finding the Third Proportional to 46,455 and 71,180.25

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Solution

The third proportional to 46,455 and 71,180.25 is: 109,065.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,455 : 71,180.25 = 71,180.25 : x
  2. Step 2: Convert to fraction form
    46,455/71,180.25 = 71,180.25/x
  3. Step 3: Cross multiply
    46,455x = 71,180.25 × 71,180.25
  4. Step 4: Simplify right side
    46,455x = 5,066,627,990.06
  5. Step 5: Solve for x
    x = 5,066,627,990.06/46,455
  6. Step 6: Final answer
    x = 109,065.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.