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Finding the Third Proportional to 127,701 and 277,740

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Solution

The third proportional to 127,701 and 277,740 is: 604,063.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,701 : 277,740 = 277,740 : x
  2. Step 2: Convert to fraction form
    127,701/277,740 = 277,740/x
  3. Step 3: Cross multiply
    127,701x = 277,740 × 277,740
  4. Step 4: Simplify right side
    127,701x = 77,139,507,600
  5. Step 5: Solve for x
    x = 77,139,507,600/127,701
  6. Step 6: Final answer
    x = 604,063.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.