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Finding the Third Proportional to 64,570 and 97,821

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Solution

The third proportional to 64,570 and 97,821 is: 148,194.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,570 : 97,821 = 97,821 : x
  2. Step 2: Convert to fraction form
    64,570/97,821 = 97,821/x
  3. Step 3: Cross multiply
    64,570x = 97,821 × 97,821
  4. Step 4: Simplify right side
    64,570x = 9,568,948,041
  5. Step 5: Solve for x
    x = 9,568,948,041/64,570
  6. Step 6: Final answer
    x = 148,194.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.