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Finding the Third Proportional to 108,076.78 and 159,316.88

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Solution

The third proportional to 108,076.78 and 159,316.88 is: 234,850.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,076.78 : 159,316.88 = 159,316.88 : x
  2. Step 2: Convert to fraction form
    108,076.78/159,316.88 = 159,316.88/x
  3. Step 3: Cross multiply
    108,076.78x = 159,316.88 × 159,316.88
  4. Step 4: Simplify right side
    108,076.78x = 25,381,866,659.77
  5. Step 5: Solve for x
    x = 25,381,866,659.77/108,076.78
  6. Step 6: Final answer
    x = 234,850.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.