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Finding the Third Proportional to 46,720 and 67,157

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Solution

The third proportional to 46,720 and 67,157 is: 96,533.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,720 : 67,157 = 67,157 : x
  2. Step 2: Convert to fraction form
    46,720/67,157 = 67,157/x
  3. Step 3: Cross multiply
    46,720x = 67,157 × 67,157
  4. Step 4: Simplify right side
    46,720x = 4,510,062,649
  5. Step 5: Solve for x
    x = 4,510,062,649/46,720
  6. Step 6: Final answer
    x = 96,533.88

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.