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Finding the Third Proportional to 67,953.84 and 144,655.69

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Solution

The third proportional to 67,953.84 and 144,655.69 is: 307,933.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,953.84 : 144,655.69 = 144,655.69 : x
  2. Step 2: Convert to fraction form
    67,953.84/144,655.69 = 144,655.69/x
  3. Step 3: Cross multiply
    67,953.84x = 144,655.69 × 144,655.69
  4. Step 4: Simplify right side
    67,953.84x = 20,925,267,926.10
  5. Step 5: Solve for x
    x = 20,925,267,926.10/67,953.84
  6. Step 6: Final answer
    x = 307,933.54

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.