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Finding the Third Proportional to 100,955.58 and 156,301.21

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Solution

The third proportional to 100,955.58 and 156,301.21 is: 241,988.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,955.58 : 156,301.21 = 156,301.21 : x
  2. Step 2: Convert to fraction form
    100,955.58/156,301.21 = 156,301.21/x
  3. Step 3: Cross multiply
    100,955.58x = 156,301.21 × 156,301.21
  4. Step 4: Simplify right side
    100,955.58x = 24,430,067,319.43
  5. Step 5: Solve for x
    x = 24,430,067,319.43/100,955.58
  6. Step 6: Final answer
    x = 241,988.27

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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.