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Finding the Third Proportional to 110,426 and 172,200

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Solution

The third proportional to 110,426 and 172,200 is: 268,531.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,426 : 172,200 = 172,200 : x
  2. Step 2: Convert to fraction form
    110,426/172,200 = 172,200/x
  3. Step 3: Cross multiply
    110,426x = 172,200 × 172,200
  4. Step 4: Simplify right side
    110,426x = 29,652,840,000
  5. Step 5: Solve for x
    x = 29,652,840,000/110,426
  6. Step 6: Final answer
    x = 268,531.32

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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.