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Finding the Third Proportional to 64,546 and 99,701

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Solution

The third proportional to 64,546 and 99,701 is: 154,003.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,546 : 99,701 = 99,701 : x
  2. Step 2: Convert to fraction form
    64,546/99,701 = 99,701/x
  3. Step 3: Cross multiply
    64,546x = 99,701 × 99,701
  4. Step 4: Simplify right side
    64,546x = 9,940,289,401
  5. Step 5: Solve for x
    x = 9,940,289,401/64,546
  6. Step 6: Final answer
    x = 154,003.18

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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.