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Finding the Third Proportional to 127,008 and 271,525.50

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Solution

The third proportional to 127,008 and 271,525.50 is: 580,483.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,008 : 271,525.50 = 271,525.50 : x
  2. Step 2: Convert to fraction form
    127,008/271,525.50 = 271,525.50/x
  3. Step 3: Cross multiply
    127,008x = 271,525.50 × 271,525.50
  4. Step 4: Simplify right side
    127,008x = 73,726,097,150.25
  5. Step 5: Solve for x
    x = 73,726,097,150.25/127,008
  6. Step 6: Final answer
    x = 580,483.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.