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Finding the Third Proportional to 109,441.13 and 170,996.06

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Solution

The third proportional to 109,441.13 and 170,996.06 is: 267,172.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,441.13 : 170,996.06 = 170,996.06 : x
  2. Step 2: Convert to fraction form
    109,441.13/170,996.06 = 170,996.06/x
  3. Step 3: Cross multiply
    109,441.13x = 170,996.06 × 170,996.06
  4. Step 4: Simplify right side
    109,441.13x = 29,239,653,390.50
  5. Step 5: Solve for x
    x = 29,239,653,390.50/109,441.13
  6. Step 6: Final answer
    x = 267,172.45

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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.