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Finding the Third Proportional to 59,706 and 128,736

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Solution

The third proportional to 59,706 and 128,736 is: 277,576.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,706 : 128,736 = 128,736 : x
  2. Step 2: Convert to fraction form
    59,706/128,736 = 128,736/x
  3. Step 3: Cross multiply
    59,706x = 128,736 × 128,736
  4. Step 4: Simplify right side
    59,706x = 16,572,957,696
  5. Step 5: Solve for x
    x = 16,572,957,696/59,706
  6. Step 6: Final answer
    x = 277,576.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.