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Finding the Third Proportional to 64,861 and 142,024

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Solution

The third proportional to 64,861 and 142,024 is: 310,985.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,861 : 142,024 = 142,024 : x
  2. Step 2: Convert to fraction form
    64,861/142,024 = 142,024/x
  3. Step 3: Cross multiply
    64,861x = 142,024 × 142,024
  4. Step 4: Simplify right side
    64,861x = 20,170,816,576
  5. Step 5: Solve for x
    x = 20,170,816,576/64,861
  6. Step 6: Final answer
    x = 310,985.29

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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.