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Finding the Third Proportional to 110,426 and 172,199

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Solution

The third proportional to 110,426 and 172,199 is: 268,528.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,426 : 172,199 = 172,199 : x
  2. Step 2: Convert to fraction form
    110,426/172,199 = 172,199/x
  3. Step 3: Cross multiply
    110,426x = 172,199 × 172,199
  4. Step 4: Simplify right side
    110,426x = 29,652,495,601
  5. Step 5: Solve for x
    x = 29,652,495,601/110,426
  6. Step 6: Final answer
    x = 268,528.21

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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.