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Finding the Third Proportional to 71,079.25 and 152,000

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Solution

The third proportional to 71,079.25 and 152,000 is: 325,045.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,079.25 : 152,000 = 152,000 : x
  2. Step 2: Convert to fraction form
    71,079.25/152,000 = 152,000/x
  3. Step 3: Cross multiply
    71,079.25x = 152,000 × 152,000
  4. Step 4: Simplify right side
    71,079.25x = 23,104,000,000
  5. Step 5: Solve for x
    x = 23,104,000,000/71,079.25
  6. Step 6: Final answer
    x = 325,045.64

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.