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Finding the Third Proportional to 127,482 and 277,076

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Solution

The third proportional to 127,482 and 277,076 is: 602,211.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,482 : 277,076 = 277,076 : x
  2. Step 2: Convert to fraction form
    127,482/277,076 = 277,076/x
  3. Step 3: Cross multiply
    127,482x = 277,076 × 277,076
  4. Step 4: Simplify right side
    127,482x = 76,771,109,776
  5. Step 5: Solve for x
    x = 76,771,109,776/127,482
  6. Step 6: Final answer
    x = 602,211.37

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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.