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Finding the Third Proportional to 67,835.50 and 144,677

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Solution

The third proportional to 67,835.50 and 144,677 is: 308,561.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,835.50 : 144,677 = 144,677 : x
  2. Step 2: Convert to fraction form
    67,835.50/144,677 = 144,677/x
  3. Step 3: Cross multiply
    67,835.50x = 144,677 × 144,677
  4. Step 4: Simplify right side
    67,835.50x = 20,931,434,329
  5. Step 5: Solve for x
    x = 20,931,434,329/67,835.50
  6. Step 6: Final answer
    x = 308,561.66

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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.