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Finding the Third Proportional to 111,256.50 and 172,590

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Solution

The third proportional to 111,256.50 and 172,590 is: 267,735.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,256.50 : 172,590 = 172,590 : x
  2. Step 2: Convert to fraction form
    111,256.50/172,590 = 172,590/x
  3. Step 3: Cross multiply
    111,256.50x = 172,590 × 172,590
  4. Step 4: Simplify right side
    111,256.50x = 29,787,308,100
  5. Step 5: Solve for x
    x = 29,787,308,100/111,256.50
  6. Step 6: Final answer
    x = 267,735.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.