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Finding the Third Proportional to 111,260 and 172,510

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Solution

The third proportional to 111,260 and 172,510 is: 267,478.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,260 : 172,510 = 172,510 : x
  2. Step 2: Convert to fraction form
    111,260/172,510 = 172,510/x
  3. Step 3: Cross multiply
    111,260x = 172,510 × 172,510
  4. Step 4: Simplify right side
    111,260x = 29,759,700,100
  5. Step 5: Solve for x
    x = 29,759,700,100/111,260
  6. Step 6: Final answer
    x = 267,478.88

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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.