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Finding the Third Proportional to 64,914 and 141,844

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Solution

The third proportional to 64,914 and 141,844 is: 309,944.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,914 : 141,844 = 141,844 : x
  2. Step 2: Convert to fraction form
    64,914/141,844 = 141,844/x
  3. Step 3: Cross multiply
    64,914x = 141,844 × 141,844
  4. Step 4: Simplify right side
    64,914x = 20,119,720,336
  5. Step 5: Solve for x
    x = 20,119,720,336/64,914
  6. Step 6: Final answer
    x = 309,944.24

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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.