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Finding the Third Proportional to 64,154 and 140,701

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Solution

The third proportional to 64,154 and 140,701 is: 308,582.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,154 : 140,701 = 140,701 : x
  2. Step 2: Convert to fraction form
    64,154/140,701 = 140,701/x
  3. Step 3: Cross multiply
    64,154x = 140,701 × 140,701
  4. Step 4: Simplify right side
    64,154x = 19,796,771,401
  5. Step 5: Solve for x
    x = 19,796,771,401/64,154
  6. Step 6: Final answer
    x = 308,582.03

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.