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Finding the Third Proportional to 120,307.13 and 168,202.13

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Solution

The third proportional to 120,307.13 and 168,202.13 is: 235,164.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,307.13 : 168,202.13 = 168,202.13 : x
  2. Step 2: Convert to fraction form
    120,307.13/168,202.13 = 168,202.13/x
  3. Step 3: Cross multiply
    120,307.13x = 168,202.13 × 168,202.13
  4. Step 4: Simplify right side
    120,307.13x = 28,291,954,854.52
  5. Step 5: Solve for x
    x = 28,291,954,854.52/120,307.13
  6. Step 6: Final answer
    x = 235,164.42

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.