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Finding the Third Proportional to 127,032.05 and 276,001.17

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Solution

The third proportional to 127,032.05 and 276,001.17 is: 599,664.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,032.05 : 276,001.17 = 276,001.17 : x
  2. Step 2: Convert to fraction form
    127,032.05/276,001.17 = 276,001.17/x
  3. Step 3: Cross multiply
    127,032.05x = 276,001.17 × 276,001.17
  4. Step 4: Simplify right side
    127,032.05x = 76,176,646,876.37
  5. Step 5: Solve for x
    x = 76,176,646,876.37/127,032.05
  6. Step 6: Final answer
    x = 599,664.80

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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.