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Finding the Third Proportional to 67,629 and 97,413

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Solution

The third proportional to 67,629 and 97,413 is: 140,313.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,629 : 97,413 = 97,413 : x
  2. Step 2: Convert to fraction form
    67,629/97,413 = 97,413/x
  3. Step 3: Cross multiply
    67,629x = 97,413 × 97,413
  4. Step 4: Simplify right side
    67,629x = 9,489,292,569
  5. Step 5: Solve for x
    x = 9,489,292,569/67,629
  6. Step 6: Final answer
    x = 140,313.96

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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.