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Finding the Third Proportional to 67,914.47 and 147,506.46

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Solution

The third proportional to 67,914.47 and 147,506.46 is: 320,375.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,914.47 : 147,506.46 = 147,506.46 : x
  2. Step 2: Convert to fraction form
    67,914.47/147,506.46 = 147,506.46/x
  3. Step 3: Cross multiply
    67,914.47x = 147,506.46 × 147,506.46
  4. Step 4: Simplify right side
    67,914.47x = 21,758,155,154.01
  5. Step 5: Solve for x
    x = 21,758,155,154.01/67,914.47
  6. Step 6: Final answer
    x = 320,375.86

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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.