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Finding the Third Proportional to 116,512 and 172,550

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Solution

The third proportional to 116,512 and 172,550 is: 255,540.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,512 : 172,550 = 172,550 : x
  2. Step 2: Convert to fraction form
    116,512/172,550 = 172,550/x
  3. Step 3: Cross multiply
    116,512x = 172,550 × 172,550
  4. Step 4: Simplify right side
    116,512x = 29,773,502,500
  5. Step 5: Solve for x
    x = 29,773,502,500/116,512
  6. Step 6: Final answer
    x = 255,540.22

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.