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Finding the Third Proportional to 64,060 and 136,435

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Solution

The third proportional to 64,060 and 136,435 is: 290,579.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,060 : 136,435 = 136,435 : x
  2. Step 2: Convert to fraction form
    64,060/136,435 = 136,435/x
  3. Step 3: Cross multiply
    64,060x = 136,435 × 136,435
  4. Step 4: Simplify right side
    64,060x = 18,614,509,225
  5. Step 5: Solve for x
    x = 18,614,509,225/64,060
  6. Step 6: Final answer
    x = 290,579.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.