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Finding the Third Proportional to 61,072 and 128,704

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Solution

The third proportional to 61,072 and 128,704 is: 271,232.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,072 : 128,704 = 128,704 : x
  2. Step 2: Convert to fraction form
    61,072/128,704 = 128,704/x
  3. Step 3: Cross multiply
    61,072x = 128,704 × 128,704
  4. Step 4: Simplify right side
    61,072x = 16,564,719,616
  5. Step 5: Solve for x
    x = 16,564,719,616/61,072
  6. Step 6: Final answer
    x = 271,232.64

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.