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Finding the Third Proportional to 127,076.34 and 264,686.91

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Solution

The third proportional to 127,076.34 and 264,686.91 is: 551,315.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,076.34 : 264,686.91 = 264,686.91 : x
  2. Step 2: Convert to fraction form
    127,076.34/264,686.91 = 264,686.91/x
  3. Step 3: Cross multiply
    127,076.34x = 264,686.91 × 264,686.91
  4. Step 4: Simplify right side
    127,076.34x = 70,059,158,340.20
  5. Step 5: Solve for x
    x = 70,059,158,340.20/127,076.34
  6. Step 6: Final answer
    x = 551,315.50

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.