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Finding the Third Proportional to 46,920 and 73,452

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Solution

The third proportional to 46,920 and 73,452 is: 114,987.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,920 : 73,452 = 73,452 : x
  2. Step 2: Convert to fraction form
    46,920/73,452 = 73,452/x
  3. Step 3: Cross multiply
    46,920x = 73,452 × 73,452
  4. Step 4: Simplify right side
    46,920x = 5,395,196,304
  5. Step 5: Solve for x
    x = 5,395,196,304/46,920
  6. Step 6: Final answer
    x = 114,987.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.