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Finding the Third Proportional to 127,714 and 277,534

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Solution

The third proportional to 127,714 and 277,534 is: 603,106.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,714 : 277,534 = 277,534 : x
  2. Step 2: Convert to fraction form
    127,714/277,534 = 277,534/x
  3. Step 3: Cross multiply
    127,714x = 277,534 × 277,534
  4. Step 4: Simplify right side
    127,714x = 77,025,121,156
  5. Step 5: Solve for x
    x = 77,025,121,156/127,714
  6. Step 6: Final answer
    x = 603,106.32

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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.