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Finding the Third Proportional to 127,104 and 295,506

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Solution

The third proportional to 127,104 and 295,506 is: 687,026.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,104 : 295,506 = 295,506 : x
  2. Step 2: Convert to fraction form
    127,104/295,506 = 295,506/x
  3. Step 3: Cross multiply
    127,104x = 295,506 × 295,506
  4. Step 4: Simplify right side
    127,104x = 87,323,796,036
  5. Step 5: Solve for x
    x = 87,323,796,036/127,104
  6. Step 6: Final answer
    x = 687,026.34

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.