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Finding the Third Proportional to 64,538 and 99,694

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Solution

The third proportional to 64,538 and 99,694 is: 154,000.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,538 : 99,694 = 99,694 : x
  2. Step 2: Convert to fraction form
    64,538/99,694 = 99,694/x
  3. Step 3: Cross multiply
    64,538x = 99,694 × 99,694
  4. Step 4: Simplify right side
    64,538x = 9,938,893,636
  5. Step 5: Solve for x
    x = 9,938,893,636/64,538
  6. Step 6: Final answer
    x = 154,000.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.