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Finding the Third Proportional to 67,527 and 144,865

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Solution

The third proportional to 67,527 and 144,865 is: 310,777.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,527 : 144,865 = 144,865 : x
  2. Step 2: Convert to fraction form
    67,527/144,865 = 144,865/x
  3. Step 3: Cross multiply
    67,527x = 144,865 × 144,865
  4. Step 4: Simplify right side
    67,527x = 20,985,868,225
  5. Step 5: Solve for x
    x = 20,985,868,225/67,527
  6. Step 6: Final answer
    x = 310,777.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.