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Finding the Third Proportional to 127,005 and 279,927.38

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Solution

The third proportional to 127,005 and 279,927.38 is: 616,978.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,005 : 279,927.38 = 279,927.38 : x
  2. Step 2: Convert to fraction form
    127,005/279,927.38 = 279,927.38/x
  3. Step 3: Cross multiply
    127,005x = 279,927.38 × 279,927.38
  4. Step 4: Simplify right side
    127,005x = 78,359,335,274.39
  5. Step 5: Solve for x
    x = 78,359,335,274.39/127,005
  6. Step 6: Final answer
    x = 616,978.35

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.