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Finding the Third Proportional to 64,141 and 140,350

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Solution

The third proportional to 64,141 and 140,350 is: 307,106.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,141 : 140,350 = 140,350 : x
  2. Step 2: Convert to fraction form
    64,141/140,350 = 140,350/x
  3. Step 3: Cross multiply
    64,141x = 140,350 × 140,350
  4. Step 4: Simplify right side
    64,141x = 19,698,122,500
  5. Step 5: Solve for x
    x = 19,698,122,500/64,141
  6. Step 6: Final answer
    x = 307,106.57

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Why These Related Problems?

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