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Finding the Third Proportional to 46,920 and 73,260

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Solution

The third proportional to 46,920 and 73,260 is: 114,386.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,920 : 73,260 = 73,260 : x
  2. Step 2: Convert to fraction form
    46,920/73,260 = 73,260/x
  3. Step 3: Cross multiply
    46,920x = 73,260 × 73,260
  4. Step 4: Simplify right side
    46,920x = 5,367,027,600
  5. Step 5: Solve for x
    x = 5,367,027,600/46,920
  6. Step 6: Final answer
    x = 114,386.78

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.