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Finding the Third Proportional to 64,830 and 140,727

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Solution

The third proportional to 64,830 and 140,727 is: 305,477.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,830 : 140,727 = 140,727 : x
  2. Step 2: Convert to fraction form
    64,830/140,727 = 140,727/x
  3. Step 3: Cross multiply
    64,830x = 140,727 × 140,727
  4. Step 4: Simplify right side
    64,830x = 19,804,088,529
  5. Step 5: Solve for x
    x = 19,804,088,529/64,830
  6. Step 6: Final answer
    x = 305,477.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.