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Finding the Third Proportional to 126,547.31 and 178,004.44

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Solution

The third proportional to 126,547.31 and 178,004.44 is: 250,385.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,547.31 : 178,004.44 = 178,004.44 : x
  2. Step 2: Convert to fraction form
    126,547.31/178,004.44 = 178,004.44/x
  3. Step 3: Cross multiply
    126,547.31x = 178,004.44 × 178,004.44
  4. Step 4: Simplify right side
    126,547.31x = 31,685,579,769.69
  5. Step 5: Solve for x
    x = 31,685,579,769.69/126,547.31
  6. Step 6: Final answer
    x = 250,385.24

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.