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Finding the Third Proportional to 67,630 and 97,415

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Solution

The third proportional to 67,630 and 97,415 is: 140,317.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,630 : 97,415 = 97,415 : x
  2. Step 2: Convert to fraction form
    67,630/97,415 = 97,415/x
  3. Step 3: Cross multiply
    67,630x = 97,415 × 97,415
  4. Step 4: Simplify right side
    67,630x = 9,489,682,225
  5. Step 5: Solve for x
    x = 9,489,682,225/67,630
  6. Step 6: Final answer
    x = 140,317.64

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.