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Finding the Third Proportional to 71,385.05 and 155,071.97

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Solution

The third proportional to 71,385.05 and 155,071.97 is: 336,867.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,385.05 : 155,071.97 = 155,071.97 : x
  2. Step 2: Convert to fraction form
    71,385.05/155,071.97 = 155,071.97/x
  3. Step 3: Cross multiply
    71,385.05x = 155,071.97 × 155,071.97
  4. Step 4: Simplify right side
    71,385.05x = 24,047,315,492.00
  5. Step 5: Solve for x
    x = 24,047,315,492.00/71,385.05
  6. Step 6: Final answer
    x = 336,867.69

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.