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Finding the Third Proportional to 127,056 and 277,808

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Solution

The third proportional to 127,056 and 277,808 is: 607,427.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,056 : 277,808 = 277,808 : x
  2. Step 2: Convert to fraction form
    127,056/277,808 = 277,808/x
  3. Step 3: Cross multiply
    127,056x = 277,808 × 277,808
  4. Step 4: Simplify right side
    127,056x = 77,177,284,864
  5. Step 5: Solve for x
    x = 77,177,284,864/127,056
  6. Step 6: Final answer
    x = 607,427.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.