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Finding the Third Proportional to 64,540 and 96,806

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Solution

The third proportional to 64,540 and 96,806 is: 145,203.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,540 : 96,806 = 96,806 : x
  2. Step 2: Convert to fraction form
    64,540/96,806 = 96,806/x
  3. Step 3: Cross multiply
    64,540x = 96,806 × 96,806
  4. Step 4: Simplify right side
    64,540x = 9,371,401,636
  5. Step 5: Solve for x
    x = 9,371,401,636/64,540
  6. Step 6: Final answer
    x = 145,203.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.