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Finding the Third Proportional to 67,564 and 156,415

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Solution

The third proportional to 67,564 and 156,415 is: 362,110.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,564 : 156,415 = 156,415 : x
  2. Step 2: Convert to fraction form
    67,564/156,415 = 156,415/x
  3. Step 3: Cross multiply
    67,564x = 156,415 × 156,415
  4. Step 4: Simplify right side
    67,564x = 24,465,652,225
  5. Step 5: Solve for x
    x = 24,465,652,225/67,564
  6. Step 6: Final answer
    x = 362,110.77

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.