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Finding the Third Proportional to 136,964 and 277,695

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Solution

The third proportional to 136,964 and 277,695 is: 563,027.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,964 : 277,695 = 277,695 : x
  2. Step 2: Convert to fraction form
    136,964/277,695 = 277,695/x
  3. Step 3: Cross multiply
    136,964x = 277,695 × 277,695
  4. Step 4: Simplify right side
    136,964x = 77,114,513,025
  5. Step 5: Solve for x
    x = 77,114,513,025/136,964
  6. Step 6: Final answer
    x = 563,027.61

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.