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Finding the Third Proportional to 67,500.84 and 144,774.84

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Solution

The third proportional to 67,500.84 and 144,774.84 is: 310,511.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,500.84 : 144,774.84 = 144,774.84 : x
  2. Step 2: Convert to fraction form
    67,500.84/144,774.84 = 144,774.84/x
  3. Step 3: Cross multiply
    67,500.84x = 144,774.84 × 144,774.84
  4. Step 4: Simplify right side
    67,500.84x = 20,959,755,382.84
  5. Step 5: Solve for x
    x = 20,959,755,382.84/67,500.84
  6. Step 6: Final answer
    x = 310,511.01

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Why These Related Problems?

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