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Finding the Third Proportional to 67,314 and 97,838

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Solution

The third proportional to 67,314 and 97,838 is: 142,203.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,314 : 97,838 = 97,838 : x
  2. Step 2: Convert to fraction form
    67,314/97,838 = 97,838/x
  3. Step 3: Cross multiply
    67,314x = 97,838 × 97,838
  4. Step 4: Simplify right side
    67,314x = 9,572,274,244
  5. Step 5: Solve for x
    x = 9,572,274,244/67,314
  6. Step 6: Final answer
    x = 142,203.32

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.