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Finding the Third Proportional to 107,112 and 159,495

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Solution

The third proportional to 107,112 and 159,495 is: 237,495.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,112 : 159,495 = 159,495 : x
  2. Step 2: Convert to fraction form
    107,112/159,495 = 159,495/x
  3. Step 3: Cross multiply
    107,112x = 159,495 × 159,495
  4. Step 4: Simplify right side
    107,112x = 25,438,655,025
  5. Step 5: Solve for x
    x = 25,438,655,025/107,112
  6. Step 6: Final answer
    x = 237,495.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.