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Finding the Third Proportional to 67,114.50 and 147,145.88

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Solution

The third proportional to 67,114.50 and 147,145.88 is: 322,611.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,114.50 : 147,145.88 = 147,145.88 : x
  2. Step 2: Convert to fraction form
    67,114.50/147,145.88 = 147,145.88/x
  3. Step 3: Cross multiply
    67,114.50x = 147,145.88 × 147,145.88
  4. Step 4: Simplify right side
    67,114.50x = 21,651,908,529.52
  5. Step 5: Solve for x
    x = 21,651,908,529.52/67,114.50
  6. Step 6: Final answer
    x = 322,611.49

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.