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Finding the Third Proportional to 74,327.63 and 106,511.63

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Solution

The third proportional to 74,327.63 and 106,511.63 is: 152,631.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,327.63 : 106,511.63 = 106,511.63 : x
  2. Step 2: Convert to fraction form
    74,327.63/106,511.63 = 106,511.63/x
  3. Step 3: Cross multiply
    74,327.63x = 106,511.63 × 106,511.63
  4. Step 4: Simplify right side
    74,327.63x = 11,344,726,260.14
  5. Step 5: Solve for x
    x = 11,344,726,260.14/74,327.63
  6. Step 6: Final answer
    x = 152,631.36

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.