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Finding the Third Proportional to 58,706 and 127,888

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Solution

The third proportional to 58,706 and 127,888 is: 278,597.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,706 : 127,888 = 127,888 : x
  2. Step 2: Convert to fraction form
    58,706/127,888 = 127,888/x
  3. Step 3: Cross multiply
    58,706x = 127,888 × 127,888
  4. Step 4: Simplify right side
    58,706x = 16,355,340,544
  5. Step 5: Solve for x
    x = 16,355,340,544/58,706
  6. Step 6: Final answer
    x = 278,597.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.