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Finding the Third Proportional to 127,488 and 277,088

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Solution

The third proportional to 127,488 and 277,088 is: 602,235.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,488 : 277,088 = 277,088 : x
  2. Step 2: Convert to fraction form
    127,488/277,088 = 277,088/x
  3. Step 3: Cross multiply
    127,488x = 277,088 × 277,088
  4. Step 4: Simplify right side
    127,488x = 76,777,759,744
  5. Step 5: Solve for x
    x = 76,777,759,744/127,488
  6. Step 6: Final answer
    x = 602,235.19

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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.