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Finding the Third Proportional to 67,852.50 and 144,723

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Solution

The third proportional to 67,852.50 and 144,723 is: 308,680.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,852.50 : 144,723 = 144,723 : x
  2. Step 2: Convert to fraction form
    67,852.50/144,723 = 144,723/x
  3. Step 3: Cross multiply
    67,852.50x = 144,723 × 144,723
  4. Step 4: Simplify right side
    67,852.50x = 20,944,746,729
  5. Step 5: Solve for x
    x = 20,944,746,729/67,852.50
  6. Step 6: Final answer
    x = 308,680.55

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Why These Related Problems?

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