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Finding the Third Proportional to 67,628 and 97,412

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Solution

The third proportional to 67,628 and 97,412 is: 140,313.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,628 : 97,412 = 97,412 : x
  2. Step 2: Convert to fraction form
    67,628/97,412 = 97,412/x
  3. Step 3: Cross multiply
    67,628x = 97,412 × 97,412
  4. Step 4: Simplify right side
    67,628x = 9,489,097,744
  5. Step 5: Solve for x
    x = 9,489,097,744/67,628
  6. Step 6: Final answer
    x = 140,313.15

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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.