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Finding the Third Proportional to 64,701 and 140,793

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Solution

The third proportional to 64,701 and 140,793 is: 306,373.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,701 : 140,793 = 140,793 : x
  2. Step 2: Convert to fraction form
    64,701/140,793 = 140,793/x
  3. Step 3: Cross multiply
    64,701x = 140,793 × 140,793
  4. Step 4: Simplify right side
    64,701x = 19,822,668,849
  5. Step 5: Solve for x
    x = 19,822,668,849/64,701
  6. Step 6: Final answer
    x = 306,373.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.